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Finding the Fourth Proportional to 890.66, 1,229.11 and 497.69

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Solution

The fourth proportional to 890.66, 1,229.11 and 497.69 is: 686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.66 : 1,229.11 = 497.69 : x
  2. Step 2: Convert to fraction form
    890.66/1,229.11 = 497.69/x
  3. Step 3: Cross multiply
    890.66x = 1,229.11 × 497.69
  4. Step 4: Simplify right side
    890.66x = 611,709.61
  5. Step 5: Solve for x
    x = 611,709.61/890.66
  6. Step 6: Final answer
    x = 686.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.