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Finding the Fourth Proportional to 1,142.31, 1,705.20 and 1,003.92

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Solution

The fourth proportional to 1,142.31, 1,705.20 and 1,003.92 is: 1,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.31 : 1,705.20 = 1,003.92 : x
  2. Step 2: Convert to fraction form
    1,142.31/1,705.20 = 1,003.92/x
  3. Step 3: Cross multiply
    1,142.31x = 1,705.20 × 1,003.92
  4. Step 4: Simplify right side
    1,142.31x = 1,711,870.84
  5. Step 5: Solve for x
    x = 1,711,870.84/1,142.31
  6. Step 6: Final answer
    x = 1,498.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.