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Finding the Fourth Proportional to 874.60, 1,203.78 and 824.20

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Solution

The fourth proportional to 874.60, 1,203.78 and 824.20 is: 1,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.60 : 1,203.78 = 824.20 : x
  2. Step 2: Convert to fraction form
    874.60/1,203.78 = 824.20/x
  3. Step 3: Cross multiply
    874.60x = 1,203.78 × 824.20
  4. Step 4: Simplify right side
    874.60x = 992,155.48
  5. Step 5: Solve for x
    x = 992,155.48/874.60
  6. Step 6: Final answer
    x = 1,134.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.