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Finding the Fourth Proportional to 962.28, 1,444.62 and 818.88

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Solution

The fourth proportional to 962.28, 1,444.62 and 818.88 is: 1,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.28 : 1,444.62 = 818.88 : x
  2. Step 2: Convert to fraction form
    962.28/1,444.62 = 818.88/x
  3. Step 3: Cross multiply
    962.28x = 1,444.62 × 818.88
  4. Step 4: Simplify right side
    962.28x = 1,182,970.43
  5. Step 5: Solve for x
    x = 1,182,970.43/962.28
  6. Step 6: Final answer
    x = 1,229.34

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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.