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Finding the Fourth Proportional to 1,439.32, 2,159.46 and 514.69

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Solution

The fourth proportional to 1,439.32, 2,159.46 and 514.69 is: 772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.32 : 2,159.46 = 514.69 : x
  2. Step 2: Convert to fraction form
    1,439.32/2,159.46 = 514.69/x
  3. Step 3: Cross multiply
    1,439.32x = 2,159.46 × 514.69
  4. Step 4: Simplify right side
    1,439.32x = 1,111,452.47
  5. Step 5: Solve for x
    x = 1,111,452.47/1,439.32
  6. Step 6: Final answer
    x = 772.21

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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.