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Finding the Fourth Proportional to 847.76, 1,170.64 and 820.24

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Solution

The fourth proportional to 847.76, 1,170.64 and 820.24 is: 1,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.76 : 1,170.64 = 820.24 : x
  2. Step 2: Convert to fraction form
    847.76/1,170.64 = 820.24/x
  3. Step 3: Cross multiply
    847.76x = 1,170.64 × 820.24
  4. Step 4: Simplify right side
    847.76x = 960,205.75
  5. Step 5: Solve for x
    x = 960,205.75/847.76
  6. Step 6: Final answer
    x = 1,132.64

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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.