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Finding the Fourth Proportional to 886.12, 1,222.68 and 590.86

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Solution

The fourth proportional to 886.12, 1,222.68 and 590.86 is: 815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.12 : 1,222.68 = 590.86 : x
  2. Step 2: Convert to fraction form
    886.12/1,222.68 = 590.86/x
  3. Step 3: Cross multiply
    886.12x = 1,222.68 × 590.86
  4. Step 4: Simplify right side
    886.12x = 722,432.70
  5. Step 5: Solve for x
    x = 722,432.70/886.12
  6. Step 6: Final answer
    x = 815.28

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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.