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Finding the Fourth Proportional to 837.80, 1,155.34 and 771.58

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Solution

The fourth proportional to 837.80, 1,155.34 and 771.58 is: 1,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.80 : 1,155.34 = 771.58 : x
  2. Step 2: Convert to fraction form
    837.80/1,155.34 = 771.58/x
  3. Step 3: Cross multiply
    837.80x = 1,155.34 × 771.58
  4. Step 4: Simplify right side
    837.80x = 891,440.13
  5. Step 5: Solve for x
    x = 891,440.13/837.80
  6. Step 6: Final answer
    x = 1,064.02

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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.