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Finding the Fourth Proportional to 885.30, 1,221.78 and 531.23

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Solution

The fourth proportional to 885.30, 1,221.78 and 531.23 is: 733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.30 : 1,221.78 = 531.23 : x
  2. Step 2: Convert to fraction form
    885.30/1,221.78 = 531.23/x
  3. Step 3: Cross multiply
    885.30x = 1,221.78 × 531.23
  4. Step 4: Simplify right side
    885.30x = 649,043.53
  5. Step 5: Solve for x
    x = 649,043.53/885.30
  6. Step 6: Final answer
    x = 733.14

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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.