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Finding the Fourth Proportional to 1,458.43, 2,187.88 and 484.76

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Solution

The fourth proportional to 1,458.43, 2,187.88 and 484.76 is: 727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.43 : 2,187.88 = 484.76 : x
  2. Step 2: Convert to fraction form
    1,458.43/2,187.88 = 484.76/x
  3. Step 3: Cross multiply
    1,458.43x = 2,187.88 × 484.76
  4. Step 4: Simplify right side
    1,458.43x = 1,060,600.97
  5. Step 5: Solve for x
    x = 1,060,600.97/1,458.43
  6. Step 6: Final answer
    x = 727.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.