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Finding the Fourth Proportional to 837.83, 1,156.16 and 464.79

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Solution

The fourth proportional to 837.83, 1,156.16 and 464.79 is: 641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.83 : 1,156.16 = 464.79 : x
  2. Step 2: Convert to fraction form
    837.83/1,156.16 = 464.79/x
  3. Step 3: Cross multiply
    837.83x = 1,156.16 × 464.79
  4. Step 4: Simplify right side
    837.83x = 537,366.97
  5. Step 5: Solve for x
    x = 537,366.97/837.83
  6. Step 6: Final answer
    x = 641.38

Related Problems

Find fourth proportional to 418.92, 578.08 and 232.39
Half scale
Find fourth proportional to 1,675.66, 2,312.31 and 929.58
Double scale
Find fourth proportional to 838.83, 1,157.54 and 465.79
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.