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Finding the Fourth Proportional to 872.44, 1,306.93 and 525.87

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Solution

The fourth proportional to 872.44, 1,306.93 and 525.87 is: 787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.44 : 1,306.93 = 525.87 : x
  2. Step 2: Convert to fraction form
    872.44/1,306.93 = 525.87/x
  3. Step 3: Cross multiply
    872.44x = 1,306.93 × 525.87
  4. Step 4: Simplify right side
    872.44x = 687,275.28
  5. Step 5: Solve for x
    x = 687,275.28/872.44
  6. Step 6: Final answer
    x = 787.76

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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.