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Finding the Fourth Proportional to 1,004.19, 1,508.91 and 614.24

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Solution

The fourth proportional to 1,004.19, 1,508.91 and 614.24 is: 922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.19 : 1,508.91 = 614.24 : x
  2. Step 2: Convert to fraction form
    1,004.19/1,508.91 = 614.24/x
  3. Step 3: Cross multiply
    1,004.19x = 1,508.91 × 614.24
  4. Step 4: Simplify right side
    1,004.19x = 926,832.88
  5. Step 5: Solve for x
    x = 926,832.88/1,004.19
  6. Step 6: Final answer
    x = 922.97

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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.