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Finding the Fourth Proportional to 920.32, 1,269.84 and 671.78

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Solution

The fourth proportional to 920.32, 1,269.84 and 671.78 is: 926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.32 : 1,269.84 = 671.78 : x
  2. Step 2: Convert to fraction form
    920.32/1,269.84 = 671.78/x
  3. Step 3: Cross multiply
    920.32x = 1,269.84 × 671.78
  4. Step 4: Simplify right side
    920.32x = 853,053.12
  5. Step 5: Solve for x
    x = 853,053.12/920.32
  6. Step 6: Final answer
    x = 926.91

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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.