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Finding the Fourth Proportional to 880.92, 1,215.26 and 582.48

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Solution

The fourth proportional to 880.92, 1,215.26 and 582.48 is: 803.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.92 : 1,215.26 = 582.48 : x
  2. Step 2: Convert to fraction form
    880.92/1,215.26 = 582.48/x
  3. Step 3: Cross multiply
    880.92x = 1,215.26 × 582.48
  4. Step 4: Simplify right side
    880.92x = 707,861.73
  5. Step 5: Solve for x
    x = 707,861.73/880.92
  6. Step 6: Final answer
    x = 803.55

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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.