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Finding the Fourth Proportional to 1,515.49, 2,270.72 and 527.78

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Solution

The fourth proportional to 1,515.49, 2,270.72 and 527.78 is: 790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.49 : 2,270.72 = 527.78 : x
  2. Step 2: Convert to fraction form
    1,515.49/2,270.72 = 527.78/x
  3. Step 3: Cross multiply
    1,515.49x = 2,270.72 × 527.78
  4. Step 4: Simplify right side
    1,515.49x = 1,198,426.61
  5. Step 5: Solve for x
    x = 1,198,426.61/1,515.49
  6. Step 6: Final answer
    x = 790.79

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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.