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Finding the Fourth Proportional to 881.38, 1,216.02 and 527.23

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Solution

The fourth proportional to 881.38, 1,216.02 and 527.23 is: 727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.38 : 1,216.02 = 527.23 : x
  2. Step 2: Convert to fraction form
    881.38/1,216.02 = 527.23/x
  3. Step 3: Cross multiply
    881.38x = 1,216.02 × 527.23
  4. Step 4: Simplify right side
    881.38x = 641,122.22
  5. Step 5: Solve for x
    x = 641,122.22/881.38
  6. Step 6: Final answer
    x = 727.41

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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.