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Finding the Fourth Proportional to 707.70, 1,060.82 and 501.78

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Solution

The fourth proportional to 707.70, 1,060.82 and 501.78 is: 752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.70 : 1,060.82 = 501.78 : x
  2. Step 2: Convert to fraction form
    707.70/1,060.82 = 501.78/x
  3. Step 3: Cross multiply
    707.70x = 1,060.82 × 501.78
  4. Step 4: Simplify right side
    707.70x = 532,298.26
  5. Step 5: Solve for x
    x = 532,298.26/707.70
  6. Step 6: Final answer
    x = 752.15

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