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Finding the Fourth Proportional to 1,454.78, 2,007.42 and 825.35

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Solution

The fourth proportional to 1,454.78, 2,007.42 and 825.35 is: 1,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.78 : 2,007.42 = 825.35 : x
  2. Step 2: Convert to fraction form
    1,454.78/2,007.42 = 825.35/x
  3. Step 3: Cross multiply
    1,454.78x = 2,007.42 × 825.35
  4. Step 4: Simplify right side
    1,454.78x = 1,656,810.96
  5. Step 5: Solve for x
    x = 1,656,810.96/1,454.78
  6. Step 6: Final answer
    x = 1,138.87

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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.