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Finding the Fourth Proportional to 676.80, 1,015.92 and 642.24

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Solution

The fourth proportional to 676.80, 1,015.92 and 642.24 is: 964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.80 : 1,015.92 = 642.24 : x
  2. Step 2: Convert to fraction form
    676.80/1,015.92 = 642.24/x
  3. Step 3: Cross multiply
    676.80x = 1,015.92 × 642.24
  4. Step 4: Simplify right side
    676.80x = 652,464.46
  5. Step 5: Solve for x
    x = 652,464.46/676.80
  6. Step 6: Final answer
    x = 964.04

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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.