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Finding the Fourth Proportional to 789.44, 1,184.16 and 424.40

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Solution

The fourth proportional to 789.44, 1,184.16 and 424.40 is: 636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.44 : 1,184.16 = 424.40 : x
  2. Step 2: Convert to fraction form
    789.44/1,184.16 = 424.40/x
  3. Step 3: Cross multiply
    789.44x = 1,184.16 × 424.40
  4. Step 4: Simplify right side
    789.44x = 502,557.50
  5. Step 5: Solve for x
    x = 502,557.50/789.44
  6. Step 6: Final answer
    x = 636.60

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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.