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Finding the Fourth Proportional to 871.83, 1,306.29 and 838.11

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Solution

The fourth proportional to 871.83, 1,306.29 and 838.11 is: 1,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.83 : 1,306.29 = 838.11 : x
  2. Step 2: Convert to fraction form
    871.83/1,306.29 = 838.11/x
  3. Step 3: Cross multiply
    871.83x = 1,306.29 × 838.11
  4. Step 4: Simplify right side
    871.83x = 1,094,814.71
  5. Step 5: Solve for x
    x = 1,094,814.71/871.83
  6. Step 6: Final answer
    x = 1,255.77

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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.