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Finding the Fourth Proportional to 828.71, 1,143.44 and 497.01

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Solution

The fourth proportional to 828.71, 1,143.44 and 497.01 is: 685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.71 : 1,143.44 = 497.01 : x
  2. Step 2: Convert to fraction form
    828.71/1,143.44 = 497.01/x
  3. Step 3: Cross multiply
    828.71x = 1,143.44 × 497.01
  4. Step 4: Simplify right side
    828.71x = 568,301.11
  5. Step 5: Solve for x
    x = 568,301.11/828.71
  6. Step 6: Final answer
    x = 685.77

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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.