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Finding the Fourth Proportional to 1,444.80, 2,166.72 and 579.36

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Solution

The fourth proportional to 1,444.80, 2,166.72 and 579.36 is: 868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.80 : 2,166.72 = 579.36 : x
  2. Step 2: Convert to fraction form
    1,444.80/2,166.72 = 579.36/x
  3. Step 3: Cross multiply
    1,444.80x = 2,166.72 × 579.36
  4. Step 4: Simplify right side
    1,444.80x = 1,255,310.90
  5. Step 5: Solve for x
    x = 1,255,310.90/1,444.80
  6. Step 6: Final answer
    x = 868.85

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