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Finding the Fourth Proportional to 1,005.11, 1,508.12 and 542.73

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Solution

The fourth proportional to 1,005.11, 1,508.12 and 542.73 is: 814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.11 : 1,508.12 = 542.73 : x
  2. Step 2: Convert to fraction form
    1,005.11/1,508.12 = 542.73/x
  3. Step 3: Cross multiply
    1,005.11x = 1,508.12 × 542.73
  4. Step 4: Simplify right side
    1,005.11x = 818,494.22
  5. Step 5: Solve for x
    x = 818,494.22/1,005.11
  6. Step 6: Final answer
    x = 814.33

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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.