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Finding the Fourth Proportional to 1,127.29, 1,690.24 and 542.47

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Solution

The fourth proportional to 1,127.29, 1,690.24 and 542.47 is: 813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.29 : 1,690.24 = 542.47 : x
  2. Step 2: Convert to fraction form
    1,127.29/1,690.24 = 542.47/x
  3. Step 3: Cross multiply
    1,127.29x = 1,690.24 × 542.47
  4. Step 4: Simplify right side
    1,127.29x = 916,893.33
  5. Step 5: Solve for x
    x = 916,893.33/1,127.29
  6. Step 6: Final answer
    x = 813.36

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