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Finding the Fourth Proportional to 1,508.55, 2,262.36 and 584.04

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Solution

The fourth proportional to 1,508.55, 2,262.36 and 584.04 is: 875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.55 : 2,262.36 = 584.04 : x
  2. Step 2: Convert to fraction form
    1,508.55/2,262.36 = 584.04/x
  3. Step 3: Cross multiply
    1,508.55x = 2,262.36 × 584.04
  4. Step 4: Simplify right side
    1,508.55x = 1,321,308.73
  5. Step 5: Solve for x
    x = 1,321,308.73/1,508.55
  6. Step 6: Final answer
    x = 875.88

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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.