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Finding the Fourth Proportional to 689.02, 1,033.07 and 483.83

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Solution

The fourth proportional to 689.02, 1,033.07 and 483.83 is: 725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.02 : 1,033.07 = 483.83 : x
  2. Step 2: Convert to fraction form
    689.02/1,033.07 = 483.83/x
  3. Step 3: Cross multiply
    689.02x = 1,033.07 × 483.83
  4. Step 4: Simplify right side
    689.02x = 499,827.84
  5. Step 5: Solve for x
    x = 499,827.84/689.02
  6. Step 6: Final answer
    x = 725.42

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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.