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Finding the Fourth Proportional to 813.38, 1,122.84 and 533.66

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Solution

The fourth proportional to 813.38, 1,122.84 and 533.66 is: 736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.38 : 1,122.84 = 533.66 : x
  2. Step 2: Convert to fraction form
    813.38/1,122.84 = 533.66/x
  3. Step 3: Cross multiply
    813.38x = 1,122.84 × 533.66
  4. Step 4: Simplify right side
    813.38x = 599,209.18
  5. Step 5: Solve for x
    x = 599,209.18/813.38
  6. Step 6: Final answer
    x = 736.69

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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.