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Finding the Fourth Proportional to 1,349.24, 2,024.68 and 527.90

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Solution

The fourth proportional to 1,349.24, 2,024.68 and 527.90 is: 792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.24 : 2,024.68 = 527.90 : x
  2. Step 2: Convert to fraction form
    1,349.24/2,024.68 = 527.90/x
  3. Step 3: Cross multiply
    1,349.24x = 2,024.68 × 527.90
  4. Step 4: Simplify right side
    1,349.24x = 1,068,828.57
  5. Step 5: Solve for x
    x = 1,068,828.57/1,349.24
  6. Step 6: Final answer
    x = 792.17

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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.