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Finding the Fourth Proportional to 962.04, 1,442.10 and 615.57

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Solution

The fourth proportional to 962.04, 1,442.10 and 615.57 is: 922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.04 : 1,442.10 = 615.57 : x
  2. Step 2: Convert to fraction form
    962.04/1,442.10 = 615.57/x
  3. Step 3: Cross multiply
    962.04x = 1,442.10 × 615.57
  4. Step 4: Simplify right side
    962.04x = 887,710.40
  5. Step 5: Solve for x
    x = 887,710.40/962.04
  6. Step 6: Final answer
    x = 922.73

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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.