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Finding the Fourth Proportional to 789.19, 1,089.06 and 435.10

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Solution

The fourth proportional to 789.19, 1,089.06 and 435.10 is: 600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.19 : 1,089.06 = 435.10 : x
  2. Step 2: Convert to fraction form
    789.19/1,089.06 = 435.10/x
  3. Step 3: Cross multiply
    789.19x = 1,089.06 × 435.10
  4. Step 4: Simplify right side
    789.19x = 473,844.56
  5. Step 5: Solve for x
    x = 473,844.56/789.19
  6. Step 6: Final answer
    x = 600.42

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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.