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Finding the Fourth Proportional to 822.86, 1,232.92 and 497.55

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Solution

The fourth proportional to 822.86, 1,232.92 and 497.55 is: 745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.86 : 1,232.92 = 497.55 : x
  2. Step 2: Convert to fraction form
    822.86/1,232.92 = 497.55/x
  3. Step 3: Cross multiply
    822.86x = 1,232.92 × 497.55
  4. Step 4: Simplify right side
    822.86x = 613,439.35
  5. Step 5: Solve for x
    x = 613,439.35/822.86
  6. Step 6: Final answer
    x = 745.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.