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Finding the Fourth Proportional to 1,034.22, 1,551.42 and 293.84

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Solution

The fourth proportional to 1,034.22, 1,551.42 and 293.84 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.22 : 1,551.42 = 293.84 : x
  2. Step 2: Convert to fraction form
    1,034.22/1,551.42 = 293.84/x
  3. Step 3: Cross multiply
    1,034.22x = 1,551.42 × 293.84
  4. Step 4: Simplify right side
    1,034.22x = 455,869.25
  5. Step 5: Solve for x
    x = 455,869.25/1,034.22
  6. Step 6: Final answer
    x = 440.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.