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Finding the Fourth Proportional to 1,005.54, 1,508.73 and 542.77

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Solution

The fourth proportional to 1,005.54, 1,508.73 and 542.77 is: 814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.54 : 1,508.73 = 542.77 : x
  2. Step 2: Convert to fraction form
    1,005.54/1,508.73 = 542.77/x
  3. Step 3: Cross multiply
    1,005.54x = 1,508.73 × 542.77
  4. Step 4: Simplify right side
    1,005.54x = 818,893.38
  5. Step 5: Solve for x
    x = 818,893.38/1,005.54
  6. Step 6: Final answer
    x = 814.38

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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.