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Finding the Fourth Proportional to 828.53, 1,143.08 and 497.06

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Solution

The fourth proportional to 828.53, 1,143.08 and 497.06 is: 685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.53 : 1,143.08 = 497.06 : x
  2. Step 2: Convert to fraction form
    828.53/1,143.08 = 497.06/x
  3. Step 3: Cross multiply
    828.53x = 1,143.08 × 497.06
  4. Step 4: Simplify right side
    828.53x = 568,177.29
  5. Step 5: Solve for x
    x = 568,177.29/828.53
  6. Step 6: Final answer
    x = 685.77

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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.