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Finding the Fourth Proportional to 828.20, 1,142.66 and 478.76

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Solution

The fourth proportional to 828.20, 1,142.66 and 478.76 is: 660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.20 : 1,142.66 = 478.76 : x
  2. Step 2: Convert to fraction form
    828.20/1,142.66 = 478.76/x
  3. Step 3: Cross multiply
    828.20x = 1,142.66 × 478.76
  4. Step 4: Simplify right side
    828.20x = 547,059.90
  5. Step 5: Solve for x
    x = 547,059.90/828.20
  6. Step 6: Final answer
    x = 660.54

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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.