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Finding the Fourth Proportional to 1,032.91, 1,548.80 and 484.72

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Solution

The fourth proportional to 1,032.91, 1,548.80 and 484.72 is: 726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.91 : 1,548.80 = 484.72 : x
  2. Step 2: Convert to fraction form
    1,032.91/1,548.80 = 484.72/x
  3. Step 3: Cross multiply
    1,032.91x = 1,548.80 × 484.72
  4. Step 4: Simplify right side
    1,032.91x = 750,734.34
  5. Step 5: Solve for x
    x = 750,734.34/1,032.91
  6. Step 6: Final answer
    x = 726.81

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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.