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Finding the Fourth Proportional to 740.77, 1,021.80 and 593.75

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Solution

The fourth proportional to 740.77, 1,021.80 and 593.75 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.77 : 1,021.80 = 593.75 : x
  2. Step 2: Convert to fraction form
    740.77/1,021.80 = 593.75/x
  3. Step 3: Cross multiply
    740.77x = 1,021.80 × 593.75
  4. Step 4: Simplify right side
    740.77x = 606,696.30
  5. Step 5: Solve for x
    x = 606,696.30/740.77
  6. Step 6: Final answer
    x = 819.01

Related Problems

Find fourth proportional to 370.38, 510.90 and 296.88
Half scale
Find fourth proportional to 1,481.54, 2,043.60 and 1,187.51
Double scale
Find fourth proportional to 741.77, 1,023.18 and 594.75
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.