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Finding the Fourth Proportional to 769.43, 1,061.12 and 507.71

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Solution

The fourth proportional to 769.43, 1,061.12 and 507.71 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.43 : 1,061.12 = 507.71 : x
  2. Step 2: Convert to fraction form
    769.43/1,061.12 = 507.71/x
  3. Step 3: Cross multiply
    769.43x = 1,061.12 × 507.71
  4. Step 4: Simplify right side
    769.43x = 538,733.39
  5. Step 5: Solve for x
    x = 538,733.39/769.43
  6. Step 6: Final answer
    x = 700.18

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