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Finding the Fourth Proportional to 962.24, 1,442.80 and 654.56

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Solution

The fourth proportional to 962.24, 1,442.80 and 654.56 is: 981.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.24 : 1,442.80 = 654.56 : x
  2. Step 2: Convert to fraction form
    962.24/1,442.80 = 654.56/x
  3. Step 3: Cross multiply
    962.24x = 1,442.80 × 654.56
  4. Step 4: Simplify right side
    962.24x = 944,399.17
  5. Step 5: Solve for x
    x = 944,399.17/962.24
  6. Step 6: Final answer
    x = 981.46

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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.