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Finding the Fourth Proportional to 1,502.39, 2,252.19 and 527.78

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Solution

The fourth proportional to 1,502.39, 2,252.19 and 527.78 is: 791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.39 : 2,252.19 = 527.78 : x
  2. Step 2: Convert to fraction form
    1,502.39/2,252.19 = 527.78/x
  3. Step 3: Cross multiply
    1,502.39x = 2,252.19 × 527.78
  4. Step 4: Simplify right side
    1,502.39x = 1,188,660.84
  5. Step 5: Solve for x
    x = 1,188,660.84/1,502.39
  6. Step 6: Final answer
    x = 791.18

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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.