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Finding the Fourth Proportional to 823.38, 1,232.64 and 497.76

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Solution

The fourth proportional to 823.38, 1,232.64 and 497.76 is: 745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.38 : 1,232.64 = 497.76 : x
  2. Step 2: Convert to fraction form
    823.38/1,232.64 = 497.76/x
  3. Step 3: Cross multiply
    823.38x = 1,232.64 × 497.76
  4. Step 4: Simplify right side
    823.38x = 613,558.89
  5. Step 5: Solve for x
    x = 613,558.89/823.38
  6. Step 6: Final answer
    x = 745.17

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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.