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Finding the Fourth Proportional to 1,439.50, 2,159.36 and 562.28

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Solution

The fourth proportional to 1,439.50, 2,159.36 and 562.28 is: 843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.50 : 2,159.36 = 562.28 : x
  2. Step 2: Convert to fraction form
    1,439.50/2,159.36 = 562.28/x
  3. Step 3: Cross multiply
    1,439.50x = 2,159.36 × 562.28
  4. Step 4: Simplify right side
    1,439.50x = 1,214,164.94
  5. Step 5: Solve for x
    x = 1,214,164.94/1,439.50
  6. Step 6: Final answer
    x = 843.46

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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.