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Finding the Fourth Proportional to 828.69, 1,143.39 and 497.25

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Solution

The fourth proportional to 828.69, 1,143.39 and 497.25 is: 686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.69 : 1,143.39 = 497.25 : x
  2. Step 2: Convert to fraction form
    828.69/1,143.39 = 497.25/x
  3. Step 3: Cross multiply
    828.69x = 1,143.39 × 497.25
  4. Step 4: Simplify right side
    828.69x = 568,550.68
  5. Step 5: Solve for x
    x = 568,550.68/828.69
  6. Step 6: Final answer
    x = 686.08

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Half scale
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Double scale
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1.5x scale

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.