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Finding the Fourth Proportional to 1,498.32, 2,248.92 and 729.36

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Solution

The fourth proportional to 1,498.32, 2,248.92 and 729.36 is: 1,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.32 : 2,248.92 = 729.36 : x
  2. Step 2: Convert to fraction form
    1,498.32/2,248.92 = 729.36/x
  3. Step 3: Cross multiply
    1,498.32x = 2,248.92 × 729.36
  4. Step 4: Simplify right side
    1,498.32x = 1,640,272.29
  5. Step 5: Solve for x
    x = 1,640,272.29/1,498.32
  6. Step 6: Final answer
    x = 1,094.74

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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.