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Finding the Fourth Proportional to 828.73, 1,143.66 and 474.65

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Solution

The fourth proportional to 828.73, 1,143.66 and 474.65 is: 655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.73 : 1,143.66 = 474.65 : x
  2. Step 2: Convert to fraction form
    828.73/1,143.66 = 474.65/x
  3. Step 3: Cross multiply
    828.73x = 1,143.66 × 474.65
  4. Step 4: Simplify right side
    828.73x = 542,842.86
  5. Step 5: Solve for x
    x = 542,842.86/828.73
  6. Step 6: Final answer
    x = 655.03

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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.