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Finding the Fourth Proportional to 812.09, 1,120.68 and 462.75

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Solution

The fourth proportional to 812.09, 1,120.68 and 462.75 is: 638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.09 : 1,120.68 = 462.75 : x
  2. Step 2: Convert to fraction form
    812.09/1,120.68 = 462.75/x
  3. Step 3: Cross multiply
    812.09x = 1,120.68 × 462.75
  4. Step 4: Simplify right side
    812.09x = 518,594.67
  5. Step 5: Solve for x
    x = 518,594.67/812.09
  6. Step 6: Final answer
    x = 638.60

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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.