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Finding the Fourth Proportional to 828.62, 1,143.44 and 497.22

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Solution

The fourth proportional to 828.62, 1,143.44 and 497.22 is: 686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.62 : 1,143.44 = 497.22 : x
  2. Step 2: Convert to fraction form
    828.62/1,143.44 = 497.22/x
  3. Step 3: Cross multiply
    828.62x = 1,143.44 × 497.22
  4. Step 4: Simplify right side
    828.62x = 568,541.24
  5. Step 5: Solve for x
    x = 568,541.24/828.62
  6. Step 6: Final answer
    x = 686.13

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Double scale
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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.