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Finding the Fourth Proportional to 1,439.56, 2,159.72 and 515.22

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Solution

The fourth proportional to 1,439.56, 2,159.72 and 515.22 is: 772.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.56 : 2,159.72 = 515.22 : x
  2. Step 2: Convert to fraction form
    1,439.56/2,159.72 = 515.22/x
  3. Step 3: Cross multiply
    1,439.56x = 2,159.72 × 515.22
  4. Step 4: Simplify right side
    1,439.56x = 1,112,730.94
  5. Step 5: Solve for x
    x = 1,112,730.94/1,439.56
  6. Step 6: Final answer
    x = 772.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.