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Finding the Fourth Proportional to 962.22, 1,442.03 and 499.03

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Solution

The fourth proportional to 962.22, 1,442.03 and 499.03 is: 747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.22 : 1,442.03 = 499.03 : x
  2. Step 2: Convert to fraction form
    962.22/1,442.03 = 499.03/x
  3. Step 3: Cross multiply
    962.22x = 1,442.03 × 499.03
  4. Step 4: Simplify right side
    962.22x = 719,616.23
  5. Step 5: Solve for x
    x = 719,616.23/962.22
  6. Step 6: Final answer
    x = 747.87

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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.