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Finding the Fourth Proportional to 836.24, 1,254.99 and 403.52

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Solution

The fourth proportional to 836.24, 1,254.99 and 403.52 is: 605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.24 : 1,254.99 = 403.52 : x
  2. Step 2: Convert to fraction form
    836.24/1,254.99 = 403.52/x
  3. Step 3: Cross multiply
    836.24x = 1,254.99 × 403.52
  4. Step 4: Simplify right side
    836.24x = 506,413.56
  5. Step 5: Solve for x
    x = 506,413.56/836.24
  6. Step 6: Final answer
    x = 605.58

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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.