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Finding the Fourth Proportional to 828.69, 1,143.61 and 474.69

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Solution

The fourth proportional to 828.69, 1,143.61 and 474.69 is: 655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.69 : 1,143.61 = 474.69 : x
  2. Step 2: Convert to fraction form
    828.69/1,143.61 = 474.69/x
  3. Step 3: Cross multiply
    828.69x = 1,143.61 × 474.69
  4. Step 4: Simplify right side
    828.69x = 542,860.23
  5. Step 5: Solve for x
    x = 542,860.23/828.69
  6. Step 6: Final answer
    x = 655.08

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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.