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Finding the Fourth Proportional to 707.71, 1,061.24 and 342.10

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Solution

The fourth proportional to 707.71, 1,061.24 and 342.10 is: 512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.71 : 1,061.24 = 342.10 : x
  2. Step 2: Convert to fraction form
    707.71/1,061.24 = 342.10/x
  3. Step 3: Cross multiply
    707.71x = 1,061.24 × 342.10
  4. Step 4: Simplify right side
    707.71x = 363,044.90
  5. Step 5: Solve for x
    x = 363,044.90/707.71
  6. Step 6: Final answer
    x = 512.99

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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.