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Finding the Fourth Proportional to 1,335.32, 1,842.60 and 916.03

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Solution

The fourth proportional to 1,335.32, 1,842.60 and 916.03 is: 1,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.32 : 1,842.60 = 916.03 : x
  2. Step 2: Convert to fraction form
    1,335.32/1,842.60 = 916.03/x
  3. Step 3: Cross multiply
    1,335.32x = 1,842.60 × 916.03
  4. Step 4: Simplify right side
    1,335.32x = 1,687,872.27
  5. Step 5: Solve for x
    x = 1,687,872.27/1,335.32
  6. Step 6: Final answer
    x = 1,264.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.