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Finding the Fourth Proportional to 1,103.65, 1,523.06 and 631.59

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Solution

The fourth proportional to 1,103.65, 1,523.06 and 631.59 is: 871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.65 : 1,523.06 = 631.59 : x
  2. Step 2: Convert to fraction form
    1,103.65/1,523.06 = 631.59/x
  3. Step 3: Cross multiply
    1,103.65x = 1,523.06 × 631.59
  4. Step 4: Simplify right side
    1,103.65x = 961,938.69
  5. Step 5: Solve for x
    x = 961,938.69/1,103.65
  6. Step 6: Final answer
    x = 871.60

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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.