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Finding the Fourth Proportional to 764.76, 1,053.90 and 589.56

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Solution

The fourth proportional to 764.76, 1,053.90 and 589.56 is: 812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.76 : 1,053.90 = 589.56 : x
  2. Step 2: Convert to fraction form
    764.76/1,053.90 = 589.56/x
  3. Step 3: Cross multiply
    764.76x = 1,053.90 × 589.56
  4. Step 4: Simplify right side
    764.76x = 621,337.28
  5. Step 5: Solve for x
    x = 621,337.28/764.76
  6. Step 6: Final answer
    x = 812.46

Related Problems

Find fourth proportional to 382.38, 526.95 and 294.78
Half scale
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Double scale
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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.