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Finding the Fourth Proportional to 890.64, 1,229.07 and 497.70

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Solution

The fourth proportional to 890.64, 1,229.07 and 497.70 is: 686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.64 : 1,229.07 = 497.70 : x
  2. Step 2: Convert to fraction form
    890.64/1,229.07 = 497.70/x
  3. Step 3: Cross multiply
    890.64x = 1,229.07 × 497.70
  4. Step 4: Simplify right side
    890.64x = 611,708.14
  5. Step 5: Solve for x
    x = 611,708.14/890.64
  6. Step 6: Final answer
    x = 686.82

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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.