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Finding the Fourth Proportional to 689.32, 1,035.17 and 459.69

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Solution

The fourth proportional to 689.32, 1,035.17 and 459.69 is: 690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.32 : 1,035.17 = 459.69 : x
  2. Step 2: Convert to fraction form
    689.32/1,035.17 = 459.69/x
  3. Step 3: Cross multiply
    689.32x = 1,035.17 × 459.69
  4. Step 4: Simplify right side
    689.32x = 475,853.65
  5. Step 5: Solve for x
    x = 475,853.65/689.32
  6. Step 6: Final answer
    x = 690.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.