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Finding the Fourth Proportional to 1,450.88, 2,177.33 and 585.20

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Solution

The fourth proportional to 1,450.88, 2,177.33 and 585.20 is: 878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.88 : 2,177.33 = 585.20 : x
  2. Step 2: Convert to fraction form
    1,450.88/2,177.33 = 585.20/x
  3. Step 3: Cross multiply
    1,450.88x = 2,177.33 × 585.20
  4. Step 4: Simplify right side
    1,450.88x = 1,274,159.70
  5. Step 5: Solve for x
    x = 1,274,159.70/1,450.88
  6. Step 6: Final answer
    x = 878.20

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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.