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Finding the Fourth Proportional to 894.38, 1,234.31 and 545.13

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Solution

The fourth proportional to 894.38, 1,234.31 and 545.13 is: 752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.38 : 1,234.31 = 545.13 : x
  2. Step 2: Convert to fraction form
    894.38/1,234.31 = 545.13/x
  3. Step 3: Cross multiply
    894.38x = 1,234.31 × 545.13
  4. Step 4: Simplify right side
    894.38x = 672,856.68
  5. Step 5: Solve for x
    x = 672,856.68/894.38
  6. Step 6: Final answer
    x = 752.32

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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.