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Finding the Fourth Proportional to 725.17, 1,002.02 and 568.23

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Solution

The fourth proportional to 725.17, 1,002.02 and 568.23 is: 785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.17 : 1,002.02 = 568.23 : x
  2. Step 2: Convert to fraction form
    725.17/1,002.02 = 568.23/x
  3. Step 3: Cross multiply
    725.17x = 1,002.02 × 568.23
  4. Step 4: Simplify right side
    725.17x = 569,374.98
  5. Step 5: Solve for x
    x = 569,374.98/725.17
  6. Step 6: Final answer
    x = 785.16

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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.