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Finding the Fourth Proportional to 757.57, 1,135.33 and 410.38

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Solution

The fourth proportional to 757.57, 1,135.33 and 410.38 is: 615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.57 : 1,135.33 = 410.38 : x
  2. Step 2: Convert to fraction form
    757.57/1,135.33 = 410.38/x
  3. Step 3: Cross multiply
    757.57x = 1,135.33 × 410.38
  4. Step 4: Simplify right side
    757.57x = 465,916.73
  5. Step 5: Solve for x
    x = 465,916.73/757.57
  6. Step 6: Final answer
    x = 615.01

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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.