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Finding the Fourth Proportional to 1,143.04, 1,706.24 and 1,034.24

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Solution

The fourth proportional to 1,143.04, 1,706.24 and 1,034.24 is: 1,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.04 : 1,706.24 = 1,034.24 : x
  2. Step 2: Convert to fraction form
    1,143.04/1,706.24 = 1,034.24/x
  3. Step 3: Cross multiply
    1,143.04x = 1,706.24 × 1,034.24
  4. Step 4: Simplify right side
    1,143.04x = 1,764,661.66
  5. Step 5: Solve for x
    x = 1,764,661.66/1,143.04
  6. Step 6: Final answer
    x = 1,543.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.