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Finding the Fourth Proportional to 876.32, 1,209.47 and 614.15

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Solution

The fourth proportional to 876.32, 1,209.47 and 614.15 is: 847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.32 : 1,209.47 = 614.15 : x
  2. Step 2: Convert to fraction form
    876.32/1,209.47 = 614.15/x
  3. Step 3: Cross multiply
    876.32x = 1,209.47 × 614.15
  4. Step 4: Simplify right side
    876.32x = 742,796.00
  5. Step 5: Solve for x
    x = 742,796.00/876.32
  6. Step 6: Final answer
    x = 847.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.