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Finding the Fourth Proportional to 1,147.46, 1,722.42 and 860.72

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Solution

The fourth proportional to 1,147.46, 1,722.42 and 860.72 is: 1,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.46 : 1,722.42 = 860.72 : x
  2. Step 2: Convert to fraction form
    1,147.46/1,722.42 = 860.72/x
  3. Step 3: Cross multiply
    1,147.46x = 1,722.42 × 860.72
  4. Step 4: Simplify right side
    1,147.46x = 1,482,512.73
  5. Step 5: Solve for x
    x = 1,482,512.73/1,147.46
  6. Step 6: Final answer
    x = 1,292.00

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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.