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Finding the Fourth Proportional to 971.32, 1,340.76 and 824.80

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Solution

The fourth proportional to 971.32, 1,340.76 and 824.80 is: 1,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.32 : 1,340.76 = 824.80 : x
  2. Step 2: Convert to fraction form
    971.32/1,340.76 = 824.80/x
  3. Step 3: Cross multiply
    971.32x = 1,340.76 × 824.80
  4. Step 4: Simplify right side
    971.32x = 1,105,858.85
  5. Step 5: Solve for x
    x = 1,105,858.85/971.32
  6. Step 6: Final answer
    x = 1,138.51

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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.