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Finding the Fourth Proportional to 713.50, 1,068.17 and 507.42

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Solution

The fourth proportional to 713.50, 1,068.17 and 507.42 is: 759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.50 : 1,068.17 = 507.42 : x
  2. Step 2: Convert to fraction form
    713.50/1,068.17 = 507.42/x
  3. Step 3: Cross multiply
    713.50x = 1,068.17 × 507.42
  4. Step 4: Simplify right side
    713.50x = 542,010.82
  5. Step 5: Solve for x
    x = 542,010.82/713.50
  6. Step 6: Final answer
    x = 759.65

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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.