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Finding the Fourth Proportional to 1,454.97, 2,182.26 and 578.12

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Solution

The fourth proportional to 1,454.97, 2,182.26 and 578.12 is: 867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.97 : 2,182.26 = 578.12 : x
  2. Step 2: Convert to fraction form
    1,454.97/2,182.26 = 578.12/x
  3. Step 3: Cross multiply
    1,454.97x = 2,182.26 × 578.12
  4. Step 4: Simplify right side
    1,454.97x = 1,261,608.15
  5. Step 5: Solve for x
    x = 1,261,608.15/1,454.97
  6. Step 6: Final answer
    x = 867.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.