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Finding the Fourth Proportional to 816.20, 1,126.32 and 443.17

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Solution

The fourth proportional to 816.20, 1,126.32 and 443.17 is: 611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.20 : 1,126.32 = 443.17 : x
  2. Step 2: Convert to fraction form
    816.20/1,126.32 = 443.17/x
  3. Step 3: Cross multiply
    816.20x = 1,126.32 × 443.17
  4. Step 4: Simplify right side
    816.20x = 499,151.23
  5. Step 5: Solve for x
    x = 499,151.23/816.20
  6. Step 6: Final answer
    x = 611.56

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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.