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Finding the Fourth Proportional to 1,454.35, 2,006.90 and 864.78

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Solution

The fourth proportional to 1,454.35, 2,006.90 and 864.78 is: 1,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.35 : 2,006.90 = 864.78 : x
  2. Step 2: Convert to fraction form
    1,454.35/2,006.90 = 864.78/x
  3. Step 3: Cross multiply
    1,454.35x = 2,006.90 × 864.78
  4. Step 4: Simplify right side
    1,454.35x = 1,735,516.95
  5. Step 5: Solve for x
    x = 1,735,516.95/1,454.35
  6. Step 6: Final answer
    x = 1,193.33

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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.