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Finding the Fourth Proportional to 657.27, 985.30 and 521.19

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Solution

The fourth proportional to 657.27, 985.30 and 521.19 is: 781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.27 : 985.30 = 521.19 : x
  2. Step 2: Convert to fraction form
    657.27/985.30 = 521.19/x
  3. Step 3: Cross multiply
    657.27x = 985.30 × 521.19
  4. Step 4: Simplify right side
    657.27x = 513,525.90
  5. Step 5: Solve for x
    x = 513,525.90/657.27
  6. Step 6: Final answer
    x = 781.30

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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.