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Finding the Fourth Proportional to 1,508.92, 2,263.03 and 584.17

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Solution

The fourth proportional to 1,508.92, 2,263.03 and 584.17 is: 876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.92 : 2,263.03 = 584.17 : x
  2. Step 2: Convert to fraction form
    1,508.92/2,263.03 = 584.17/x
  3. Step 3: Cross multiply
    1,508.92x = 2,263.03 × 584.17
  4. Step 4: Simplify right side
    1,508.92x = 1,321,987.12
  5. Step 5: Solve for x
    x = 1,321,987.12/1,508.92
  6. Step 6: Final answer
    x = 876.12

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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.