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Finding the Fourth Proportional to 789.29, 1,089.25 and 435.24

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Solution

The fourth proportional to 789.29, 1,089.25 and 435.24 is: 600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.29 : 1,089.25 = 435.24 : x
  2. Step 2: Convert to fraction form
    789.29/1,089.25 = 435.24/x
  3. Step 3: Cross multiply
    789.29x = 1,089.25 × 435.24
  4. Step 4: Simplify right side
    789.29x = 474,084.08
  5. Step 5: Solve for x
    x = 474,084.08/789.29
  6. Step 6: Final answer
    x = 600.64

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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.