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Finding the Fourth Proportional to 890.76, 1,229.22 and 497.82

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Solution

The fourth proportional to 890.76, 1,229.22 and 497.82 is: 686.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.76 : 1,229.22 = 497.82 : x
  2. Step 2: Convert to fraction form
    890.76/1,229.22 = 497.82/x
  3. Step 3: Cross multiply
    890.76x = 1,229.22 × 497.82
  4. Step 4: Simplify right side
    890.76x = 611,930.30
  5. Step 5: Solve for x
    x = 611,930.30/890.76
  6. Step 6: Final answer
    x = 686.98

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Half scale
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Double scale
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1.5x scale

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.