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Finding the Fourth Proportional to 828.48, 1,143.24 and 474.36

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Solution

The fourth proportional to 828.48, 1,143.24 and 474.36 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.48 : 1,143.24 = 474.36 : x
  2. Step 2: Convert to fraction form
    828.48/1,143.24 = 474.36/x
  3. Step 3: Cross multiply
    828.48x = 1,143.24 × 474.36
  4. Step 4: Simplify right side
    828.48x = 542,307.33
  5. Step 5: Solve for x
    x = 542,307.33/828.48
  6. Step 6: Final answer
    x = 654.58

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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.