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Finding the Fourth Proportional to 874.66, 1,314.47 and 842.34

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Solution

The fourth proportional to 874.66, 1,314.47 and 842.34 is: 1,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.66 : 1,314.47 = 842.34 : x
  2. Step 2: Convert to fraction form
    874.66/1,314.47 = 842.34/x
  3. Step 3: Cross multiply
    874.66x = 1,314.47 × 842.34
  4. Step 4: Simplify right side
    874.66x = 1,107,230.66
  5. Step 5: Solve for x
    x = 1,107,230.66/874.66
  6. Step 6: Final answer
    x = 1,265.90

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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.