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Finding the Fourth Proportional to 812.06, 1,120.74 and 462.82

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Solution

The fourth proportional to 812.06, 1,120.74 and 462.82 is: 638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.06 : 1,120.74 = 462.82 : x
  2. Step 2: Convert to fraction form
    812.06/1,120.74 = 462.82/x
  3. Step 3: Cross multiply
    812.06x = 1,120.74 × 462.82
  4. Step 4: Simplify right side
    812.06x = 518,695.28
  5. Step 5: Solve for x
    x = 518,695.28/812.06
  6. Step 6: Final answer
    x = 638.74

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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.