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Finding the Fourth Proportional to 824.83, 1,236.49 and 413.53

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Solution

The fourth proportional to 824.83, 1,236.49 and 413.53 is: 619.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.83 : 1,236.49 = 413.53 : x
  2. Step 2: Convert to fraction form
    824.83/1,236.49 = 413.53/x
  3. Step 3: Cross multiply
    824.83x = 1,236.49 × 413.53
  4. Step 4: Simplify right side
    824.83x = 511,325.71
  5. Step 5: Solve for x
    x = 511,325.71/824.83
  6. Step 6: Final answer
    x = 619.92

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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.