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Finding the Fourth Proportional to 890.89, 1,229.48 and 497.91

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Solution

The fourth proportional to 890.89, 1,229.48 and 497.91 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.89 : 1,229.48 = 497.91 : x
  2. Step 2: Convert to fraction form
    890.89/1,229.48 = 497.91/x
  3. Step 3: Cross multiply
    890.89x = 1,229.48 × 497.91
  4. Step 4: Simplify right side
    890.89x = 612,170.39
  5. Step 5: Solve for x
    x = 612,170.39/890.89
  6. Step 6: Final answer
    x = 687.14

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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.