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Finding the Fourth Proportional to 689.46, 1,034.69 and 429.84

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Solution

The fourth proportional to 689.46, 1,034.69 and 429.84 is: 645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.46 : 1,034.69 = 429.84 : x
  2. Step 2: Convert to fraction form
    689.46/1,034.69 = 429.84/x
  3. Step 3: Cross multiply
    689.46x = 1,034.69 × 429.84
  4. Step 4: Simplify right side
    689.46x = 444,751.42
  5. Step 5: Solve for x
    x = 444,751.42/689.46
  6. Step 6: Final answer
    x = 645.07

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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.