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Finding the Fourth Proportional to 885.29, 1,221.68 and 512.27

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Solution

The fourth proportional to 885.29, 1,221.68 and 512.27 is: 706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.29 : 1,221.68 = 512.27 : x
  2. Step 2: Convert to fraction form
    885.29/1,221.68 = 512.27/x
  3. Step 3: Cross multiply
    885.29x = 1,221.68 × 512.27
  4. Step 4: Simplify right side
    885.29x = 625,830.01
  5. Step 5: Solve for x
    x = 625,830.01/885.29
  6. Step 6: Final answer
    x = 706.92

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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.