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Finding the Fourth Proportional to 1,117.38, 1,677.42 and 1,024.44

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Solution

The fourth proportional to 1,117.38, 1,677.42 and 1,024.44 is: 1,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.38 : 1,677.42 = 1,024.44 : x
  2. Step 2: Convert to fraction form
    1,117.38/1,677.42 = 1,024.44/x
  3. Step 3: Cross multiply
    1,117.38x = 1,677.42 × 1,024.44
  4. Step 4: Simplify right side
    1,117.38x = 1,718,416.14
  5. Step 5: Solve for x
    x = 1,718,416.14/1,117.38
  6. Step 6: Final answer
    x = 1,537.90

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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.