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Finding the Fourth Proportional to 1,458.29, 2,187.47 and 484.47

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Solution

The fourth proportional to 1,458.29, 2,187.47 and 484.47 is: 726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.29 : 2,187.47 = 484.47 : x
  2. Step 2: Convert to fraction form
    1,458.29/2,187.47 = 484.47/x
  3. Step 3: Cross multiply
    1,458.29x = 2,187.47 × 484.47
  4. Step 4: Simplify right side
    1,458.29x = 1,059,764.80
  5. Step 5: Solve for x
    x = 1,059,764.80/1,458.29
  6. Step 6: Final answer
    x = 726.72

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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.