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Finding the Fourth Proportional to 885.24, 1,221.92 and 512.31

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Solution

The fourth proportional to 885.24, 1,221.92 and 512.31 is: 707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.24 : 1,221.92 = 512.31 : x
  2. Step 2: Convert to fraction form
    885.24/1,221.92 = 512.31/x
  3. Step 3: Cross multiply
    885.24x = 1,221.92 × 512.31
  4. Step 4: Simplify right side
    885.24x = 626,001.84
  5. Step 5: Solve for x
    x = 626,001.84/885.24
  6. Step 6: Final answer
    x = 707.15

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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.