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Finding the Fourth Proportional to 1,454.71, 2,007.84 and 865.57

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Solution

The fourth proportional to 1,454.71, 2,007.84 and 865.57 is: 1,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.71 : 2,007.84 = 865.57 : x
  2. Step 2: Convert to fraction form
    1,454.71/2,007.84 = 865.57/x
  3. Step 3: Cross multiply
    1,454.71x = 2,007.84 × 865.57
  4. Step 4: Simplify right side
    1,454.71x = 1,737,926.07
  5. Step 5: Solve for x
    x = 1,737,926.07/1,454.71
  6. Step 6: Final answer
    x = 1,194.69

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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.