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Finding the Fourth Proportional to 1,456.92, 2,185.47 and 483.15

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Solution

The fourth proportional to 1,456.92, 2,185.47 and 483.15 is: 724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.92 : 2,185.47 = 483.15 : x
  2. Step 2: Convert to fraction form
    1,456.92/2,185.47 = 483.15/x
  3. Step 3: Cross multiply
    1,456.92x = 2,185.47 × 483.15
  4. Step 4: Simplify right side
    1,456.92x = 1,055,909.83
  5. Step 5: Solve for x
    x = 1,055,909.83/1,456.92
  6. Step 6: Final answer
    x = 724.75

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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.