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Finding the Fourth Proportional to 1,103.85, 1,523.24 and 631.74

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Solution

The fourth proportional to 1,103.85, 1,523.24 and 631.74 is: 871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.85 : 1,523.24 = 631.74 : x
  2. Step 2: Convert to fraction form
    1,103.85/1,523.24 = 631.74/x
  3. Step 3: Cross multiply
    1,103.85x = 1,523.24 × 631.74
  4. Step 4: Simplify right side
    1,103.85x = 962,298.93
  5. Step 5: Solve for x
    x = 962,298.93/1,103.85
  6. Step 6: Final answer
    x = 871.77

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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.