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Finding the Fourth Proportional to 1,454.42, 2,006.96 and 825.06

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Solution

The fourth proportional to 1,454.42, 2,006.96 and 825.06 is: 1,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.42 : 2,006.96 = 825.06 : x
  2. Step 2: Convert to fraction form
    1,454.42/2,006.96 = 825.06/x
  3. Step 3: Cross multiply
    1,454.42x = 2,006.96 × 825.06
  4. Step 4: Simplify right side
    1,454.42x = 1,655,862.42
  5. Step 5: Solve for x
    x = 1,655,862.42/1,454.42
  6. Step 6: Final answer
    x = 1,138.50

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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.