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Finding the Fourth Proportional to 732.15, 1,097.01 and 515.27

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Solution

The fourth proportional to 732.15, 1,097.01 and 515.27 is: 772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.15 : 1,097.01 = 515.27 : x
  2. Step 2: Convert to fraction form
    732.15/1,097.01 = 515.27/x
  3. Step 3: Cross multiply
    732.15x = 1,097.01 × 515.27
  4. Step 4: Simplify right side
    732.15x = 565,259.09
  5. Step 5: Solve for x
    x = 565,259.09/732.15
  6. Step 6: Final answer
    x = 772.05

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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.