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Finding the Fourth Proportional to 823.24, 1,136.28 and 528.76

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Solution

The fourth proportional to 823.24, 1,136.28 and 528.76 is: 729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.24 : 1,136.28 = 528.76 : x
  2. Step 2: Convert to fraction form
    823.24/1,136.28 = 528.76/x
  3. Step 3: Cross multiply
    823.24x = 1,136.28 × 528.76
  4. Step 4: Simplify right side
    823.24x = 600,819.41
  5. Step 5: Solve for x
    x = 600,819.41/823.24
  6. Step 6: Final answer
    x = 729.82

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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.