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Finding the Fourth Proportional to 1,103.34, 1,524.17 and 771.64

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Solution

The fourth proportional to 1,103.34, 1,524.17 and 771.64 is: 1,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.34 : 1,524.17 = 771.64 : x
  2. Step 2: Convert to fraction form
    1,103.34/1,524.17 = 771.64/x
  3. Step 3: Cross multiply
    1,103.34x = 1,524.17 × 771.64
  4. Step 4: Simplify right side
    1,103.34x = 1,176,110.54
  5. Step 5: Solve for x
    x = 1,176,110.54/1,103.34
  6. Step 6: Final answer
    x = 1,065.95

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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.