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Finding the Fourth Proportional to 971.46, 1,338.46 and 639.30

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Solution

The fourth proportional to 971.46, 1,338.46 and 639.30 is: 880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.46 : 1,338.46 = 639.30 : x
  2. Step 2: Convert to fraction form
    971.46/1,338.46 = 639.30/x
  3. Step 3: Cross multiply
    971.46x = 1,338.46 × 639.30
  4. Step 4: Simplify right side
    971.46x = 855,677.48
  5. Step 5: Solve for x
    x = 855,677.48/971.46
  6. Step 6: Final answer
    x = 880.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.