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Finding the Fourth Proportional to 1,002.11, 1,504.10 and 508.87

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Solution

The fourth proportional to 1,002.11, 1,504.10 and 508.87 is: 763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.11 : 1,504.10 = 508.87 : x
  2. Step 2: Convert to fraction form
    1,002.11/1,504.10 = 508.87/x
  3. Step 3: Cross multiply
    1,002.11x = 1,504.10 × 508.87
  4. Step 4: Simplify right side
    1,002.11x = 765,391.37
  5. Step 5: Solve for x
    x = 765,391.37/1,002.11
  6. Step 6: Final answer
    x = 763.78

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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.