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Finding the Fourth Proportional to 1,161.62, 1,602.62 and 689.65

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Solution

The fourth proportional to 1,161.62, 1,602.62 and 689.65 is: 951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.62 : 1,602.62 = 689.65 : x
  2. Step 2: Convert to fraction form
    1,161.62/1,602.62 = 689.65/x
  3. Step 3: Cross multiply
    1,161.62x = 1,602.62 × 689.65
  4. Step 4: Simplify right side
    1,161.62x = 1,105,251.68
  5. Step 5: Solve for x
    x = 1,105,251.68/1,161.62
  6. Step 6: Final answer
    x = 951.48

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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.