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Finding the Fourth Proportional to 648.48, 966.12 and 608.70

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Solution

The fourth proportional to 648.48, 966.12 and 608.70 is: 906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.48 : 966.12 = 608.70 : x
  2. Step 2: Convert to fraction form
    648.48/966.12 = 608.70/x
  3. Step 3: Cross multiply
    648.48x = 966.12 × 608.70
  4. Step 4: Simplify right side
    648.48x = 588,077.24
  5. Step 5: Solve for x
    x = 588,077.24/648.48
  6. Step 6: Final answer
    x = 906.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.