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Finding the Fourth Proportional to 1,200.76, 1,657.26 and 1,146.04

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Solution

The fourth proportional to 1,200.76, 1,657.26 and 1,146.04 is: 1,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.76 : 1,657.26 = 1,146.04 : x
  2. Step 2: Convert to fraction form
    1,200.76/1,657.26 = 1,146.04/x
  3. Step 3: Cross multiply
    1,200.76x = 1,657.26 × 1,146.04
  4. Step 4: Simplify right side
    1,200.76x = 1,899,286.25
  5. Step 5: Solve for x
    x = 1,899,286.25/1,200.76
  6. Step 6: Final answer
    x = 1,581.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.