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Finding the Fourth Proportional to 1,257.38, 1,885.76 and 527.50

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Solution

The fourth proportional to 1,257.38, 1,885.76 and 527.50 is: 791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.38 : 1,885.76 = 527.50 : x
  2. Step 2: Convert to fraction form
    1,257.38/1,885.76 = 527.50/x
  3. Step 3: Cross multiply
    1,257.38x = 1,885.76 × 527.50
  4. Step 4: Simplify right side
    1,257.38x = 994,738.40
  5. Step 5: Solve for x
    x = 994,738.40/1,257.38
  6. Step 6: Final answer
    x = 791.12

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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.