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Finding the Fourth Proportional to 789.88, 1,184.98 and 277.24

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Solution

The fourth proportional to 789.88, 1,184.98 and 277.24 is: 415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.88 : 1,184.98 = 277.24 : x
  2. Step 2: Convert to fraction form
    789.88/1,184.98 = 277.24/x
  3. Step 3: Cross multiply
    789.88x = 1,184.98 × 277.24
  4. Step 4: Simplify right side
    789.88x = 328,523.86
  5. Step 5: Solve for x
    x = 328,523.86/789.88
  6. Step 6: Final answer
    x = 415.92

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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.