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Finding the Fourth Proportional to 962.39, 1,442.81 and 654.35

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Solution

The fourth proportional to 962.39, 1,442.81 and 654.35 is: 980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.39 : 1,442.81 = 654.35 : x
  2. Step 2: Convert to fraction form
    962.39/1,442.81 = 654.35/x
  3. Step 3: Cross multiply
    962.39x = 1,442.81 × 654.35
  4. Step 4: Simplify right side
    962.39x = 944,092.24
  5. Step 5: Solve for x
    x = 944,092.24/962.39
  6. Step 6: Final answer
    x = 980.99

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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.