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Finding the Fourth Proportional to 1,061.66, 1,592.01 and 506.52

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Solution

The fourth proportional to 1,061.66, 1,592.01 and 506.52 is: 759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.66 : 1,592.01 = 506.52 : x
  2. Step 2: Convert to fraction form
    1,061.66/1,592.01 = 506.52/x
  3. Step 3: Cross multiply
    1,061.66x = 1,592.01 × 506.52
  4. Step 4: Simplify right side
    1,061.66x = 806,384.91
  5. Step 5: Solve for x
    x = 806,384.91/1,061.66
  6. Step 6: Final answer
    x = 759.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.