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Finding the Fourth Proportional to 1,002.08, 1,504.05 and 508.83

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Solution

The fourth proportional to 1,002.08, 1,504.05 and 508.83 is: 763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.08 : 1,504.05 = 508.83 : x
  2. Step 2: Convert to fraction form
    1,002.08/1,504.05 = 508.83/x
  3. Step 3: Cross multiply
    1,002.08x = 1,504.05 × 508.83
  4. Step 4: Simplify right side
    1,002.08x = 765,310.77
  5. Step 5: Solve for x
    x = 765,310.77/1,002.08
  6. Step 6: Final answer
    x = 763.73

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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.