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Finding the Fourth Proportional to 689.91, 1,034.05 and 446.57

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Solution

The fourth proportional to 689.91, 1,034.05 and 446.57 is: 669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 1,034.05 = 446.57 : x
  2. Step 2: Convert to fraction form
    689.91/1,034.05 = 446.57/x
  3. Step 3: Cross multiply
    689.91x = 1,034.05 × 446.57
  4. Step 4: Simplify right side
    689.91x = 461,775.71
  5. Step 5: Solve for x
    x = 461,775.71/689.91
  6. Step 6: Final answer
    x = 669.33

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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.