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Finding the Fourth Proportional to 820.92, 1,130.92 and 672.68

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Solution

The fourth proportional to 820.92, 1,130.92 and 672.68 is: 926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.92 : 1,130.92 = 672.68 : x
  2. Step 2: Convert to fraction form
    820.92/1,130.92 = 672.68/x
  3. Step 3: Cross multiply
    820.92x = 1,130.92 × 672.68
  4. Step 4: Simplify right side
    820.92x = 760,747.27
  5. Step 5: Solve for x
    x = 760,747.27/820.92
  6. Step 6: Final answer
    x = 926.70

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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.