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Finding the Fourth Proportional to 1,086.35, 1,631.49 and 1,042.31

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Solution

The fourth proportional to 1,086.35, 1,631.49 and 1,042.31 is: 1,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.35 : 1,631.49 = 1,042.31 : x
  2. Step 2: Convert to fraction form
    1,086.35/1,631.49 = 1,042.31/x
  3. Step 3: Cross multiply
    1,086.35x = 1,631.49 × 1,042.31
  4. Step 4: Simplify right side
    1,086.35x = 1,700,510.18
  5. Step 5: Solve for x
    x = 1,700,510.18/1,086.35
  6. Step 6: Final answer
    x = 1,565.35

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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.