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Finding the Fourth Proportional to 789.38, 1,089.26 and 435.24

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Solution

The fourth proportional to 789.38, 1,089.26 and 435.24 is: 600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.38 : 1,089.26 = 435.24 : x
  2. Step 2: Convert to fraction form
    789.38/1,089.26 = 435.24/x
  3. Step 3: Cross multiply
    789.38x = 1,089.26 × 435.24
  4. Step 4: Simplify right side
    789.38x = 474,084.08
  5. Step 5: Solve for x
    x = 474,084.08/789.38
  6. Step 6: Final answer
    x = 600.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.