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Finding the Fourth Proportional to 782.92, 1,083.54 and 672.76

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Solution

The fourth proportional to 782.92, 1,083.54 and 672.76 is: 931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.92 : 1,083.54 = 672.76 : x
  2. Step 2: Convert to fraction form
    782.92/1,083.54 = 672.76/x
  3. Step 3: Cross multiply
    782.92x = 1,083.54 × 672.76
  4. Step 4: Simplify right side
    782.92x = 728,962.37
  5. Step 5: Solve for x
    x = 728,962.37/782.92
  6. Step 6: Final answer
    x = 931.08

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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.