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Finding the Fourth Proportional to 1,349.12, 2,024.04 and 579.44

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Solution

The fourth proportional to 1,349.12, 2,024.04 and 579.44 is: 869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.12 : 2,024.04 = 579.44 : x
  2. Step 2: Convert to fraction form
    1,349.12/2,024.04 = 579.44/x
  3. Step 3: Cross multiply
    1,349.12x = 2,024.04 × 579.44
  4. Step 4: Simplify right side
    1,349.12x = 1,172,809.74
  5. Step 5: Solve for x
    x = 1,172,809.74/1,349.12
  6. Step 6: Final answer
    x = 869.31

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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.