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Finding the Fourth Proportional to 1,355.75, 2,034.31 and 575.95

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Solution

The fourth proportional to 1,355.75, 2,034.31 and 575.95 is: 864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.75 : 2,034.31 = 575.95 : x
  2. Step 2: Convert to fraction form
    1,355.75/2,034.31 = 575.95/x
  3. Step 3: Cross multiply
    1,355.75x = 2,034.31 × 575.95
  4. Step 4: Simplify right side
    1,355.75x = 1,171,660.84
  5. Step 5: Solve for x
    x = 1,171,660.84/1,355.75
  6. Step 6: Final answer
    x = 864.22

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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.