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Finding the Fourth Proportional to 1,343.45, 1,854.02 and 754.04

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Solution

The fourth proportional to 1,343.45, 1,854.02 and 754.04 is: 1,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.45 : 1,854.02 = 754.04 : x
  2. Step 2: Convert to fraction form
    1,343.45/1,854.02 = 754.04/x
  3. Step 3: Cross multiply
    1,343.45x = 1,854.02 × 754.04
  4. Step 4: Simplify right side
    1,343.45x = 1,398,011.76
  5. Step 5: Solve for x
    x = 1,398,011.76/1,343.45
  6. Step 6: Final answer
    x = 1,040.61

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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.