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Finding the Fourth Proportional to 689.84, 1,033.28 and 324.08

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Solution

The fourth proportional to 689.84, 1,033.28 and 324.08 is: 485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.84 : 1,033.28 = 324.08 : x
  2. Step 2: Convert to fraction form
    689.84/1,033.28 = 324.08/x
  3. Step 3: Cross multiply
    689.84x = 1,033.28 × 324.08
  4. Step 4: Simplify right side
    689.84x = 334,866.35
  5. Step 5: Solve for x
    x = 334,866.35/689.84
  6. Step 6: Final answer
    x = 485.42

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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.