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Finding the Fourth Proportional to 1,474.30, 2,034.54 and 811.18

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Solution

The fourth proportional to 1,474.30, 2,034.54 and 811.18 is: 1,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.30 : 2,034.54 = 811.18 : x
  2. Step 2: Convert to fraction form
    1,474.30/2,034.54 = 811.18/x
  3. Step 3: Cross multiply
    1,474.30x = 2,034.54 × 811.18
  4. Step 4: Simplify right side
    1,474.30x = 1,650,378.16
  5. Step 5: Solve for x
    x = 1,650,378.16/1,474.30
  6. Step 6: Final answer
    x = 1,119.43

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Why These Related Problems?

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