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Finding the Fourth Proportional to 1,158.44, 1,738.74 and 611.04

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Solution

The fourth proportional to 1,158.44, 1,738.74 and 611.04 is: 917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.44 : 1,738.74 = 611.04 : x
  2. Step 2: Convert to fraction form
    1,158.44/1,738.74 = 611.04/x
  3. Step 3: Cross multiply
    1,158.44x = 1,738.74 × 611.04
  4. Step 4: Simplify right side
    1,158.44x = 1,062,439.69
  5. Step 5: Solve for x
    x = 1,062,439.69/1,158.44
  6. Step 6: Final answer
    x = 917.13

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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.