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Finding the Fourth Proportional to 872.92, 1,204.23 and 558.10

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Solution

The fourth proportional to 872.92, 1,204.23 and 558.10 is: 769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.92 : 1,204.23 = 558.10 : x
  2. Step 2: Convert to fraction form
    872.92/1,204.23 = 558.10/x
  3. Step 3: Cross multiply
    872.92x = 1,204.23 × 558.10
  4. Step 4: Simplify right side
    872.92x = 672,080.76
  5. Step 5: Solve for x
    x = 672,080.76/872.92
  6. Step 6: Final answer
    x = 769.92

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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.