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Finding the Fourth Proportional to 756.52, 1,135.11 and 410.10

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Solution

The fourth proportional to 756.52, 1,135.11 and 410.10 is: 615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.52 : 1,135.11 = 410.10 : x
  2. Step 2: Convert to fraction form
    756.52/1,135.11 = 410.10/x
  3. Step 3: Cross multiply
    756.52x = 1,135.11 × 410.10
  4. Step 4: Simplify right side
    756.52x = 465,508.61
  5. Step 5: Solve for x
    x = 465,508.61/756.52
  6. Step 6: Final answer
    x = 615.33

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Why These Related Problems?

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