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Finding the Fourth Proportional to 816.38, 1,126.33 and 462.26

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Solution

The fourth proportional to 816.38, 1,126.33 and 462.26 is: 637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.38 : 1,126.33 = 462.26 : x
  2. Step 2: Convert to fraction form
    816.38/1,126.33 = 462.26/x
  3. Step 3: Cross multiply
    816.38x = 1,126.33 × 462.26
  4. Step 4: Simplify right side
    816.38x = 520,657.31
  5. Step 5: Solve for x
    x = 520,657.31/816.38
  6. Step 6: Final answer
    x = 637.76

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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.