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Finding the Fourth Proportional to 871.11, 1,306.25 and 506.00

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Solution

The fourth proportional to 871.11, 1,306.25 and 506.00 is: 758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.11 : 1,306.25 = 506.00 : x
  2. Step 2: Convert to fraction form
    871.11/1,306.25 = 506.00/x
  3. Step 3: Cross multiply
    871.11x = 1,306.25 × 506.00
  4. Step 4: Simplify right side
    871.11x = 660,953.44
  5. Step 5: Solve for x
    x = 660,953.44/871.11
  6. Step 6: Final answer
    x = 758.75

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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.