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Finding the Fourth Proportional to 1,452.35, 2,178.07 and 527.74

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Solution

The fourth proportional to 1,452.35, 2,178.07 and 527.74 is: 791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.35 : 2,178.07 = 527.74 : x
  2. Step 2: Convert to fraction form
    1,452.35/2,178.07 = 527.74/x
  3. Step 3: Cross multiply
    1,452.35x = 2,178.07 × 527.74
  4. Step 4: Simplify right side
    1,452.35x = 1,149,454.66
  5. Step 5: Solve for x
    x = 1,149,454.66/1,452.35
  6. Step 6: Final answer
    x = 791.44

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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.