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Finding the Fourth Proportional to 1,158.38, 1,736.61 and 541.76

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Solution

The fourth proportional to 1,158.38, 1,736.61 and 541.76 is: 812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.38 : 1,736.61 = 541.76 : x
  2. Step 2: Convert to fraction form
    1,158.38/1,736.61 = 541.76/x
  3. Step 3: Cross multiply
    1,158.38x = 1,736.61 × 541.76
  4. Step 4: Simplify right side
    1,158.38x = 940,825.83
  5. Step 5: Solve for x
    x = 940,825.83/1,158.38
  6. Step 6: Final answer
    x = 812.19

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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.