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Finding the Fourth Proportional to 811.92, 1,120.56 and 497.37

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Solution

The fourth proportional to 811.92, 1,120.56 and 497.37 is: 686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.92 : 1,120.56 = 497.37 : x
  2. Step 2: Convert to fraction form
    811.92/1,120.56 = 497.37/x
  3. Step 3: Cross multiply
    811.92x = 1,120.56 × 497.37
  4. Step 4: Simplify right side
    811.92x = 557,332.93
  5. Step 5: Solve for x
    x = 557,332.93/811.92
  6. Step 6: Final answer
    x = 686.44

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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.