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Finding the Fourth Proportional to 1,456.25, 2,182.61 and 675.20

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Solution

The fourth proportional to 1,456.25, 2,182.61 and 675.20 is: 1,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.25 : 2,182.61 = 675.20 : x
  2. Step 2: Convert to fraction form
    1,456.25/2,182.61 = 675.20/x
  3. Step 3: Cross multiply
    1,456.25x = 2,182.61 × 675.20
  4. Step 4: Simplify right side
    1,456.25x = 1,473,705.42
  5. Step 5: Solve for x
    x = 1,473,705.42/1,456.25
  6. Step 6: Final answer
    x = 1,011.99

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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.