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Finding the Fourth Proportional to 811.94, 1,120.57 and 462.56

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Solution

The fourth proportional to 811.94, 1,120.57 and 462.56 is: 638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.94 : 1,120.57 = 462.56 : x
  2. Step 2: Convert to fraction form
    811.94/1,120.57 = 462.56/x
  3. Step 3: Cross multiply
    811.94x = 1,120.57 × 462.56
  4. Step 4: Simplify right side
    811.94x = 518,324.10
  5. Step 5: Solve for x
    x = 518,324.10/811.94
  6. Step 6: Final answer
    x = 638.38

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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.