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Finding the Fourth Proportional to 901.32, 1,345.10 and 789.65

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Solution

The fourth proportional to 901.32, 1,345.10 and 789.65 is: 1,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.32 : 1,345.10 = 789.65 : x
  2. Step 2: Convert to fraction form
    901.32/1,345.10 = 789.65/x
  3. Step 3: Cross multiply
    901.32x = 1,345.10 × 789.65
  4. Step 4: Simplify right side
    901.32x = 1,062,147.54
  5. Step 5: Solve for x
    x = 1,062,147.54/901.32
  6. Step 6: Final answer
    x = 1,178.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.