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Finding the Fourth Proportional to 699.88, 1,049.84 and 289.04

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Solution

The fourth proportional to 699.88, 1,049.84 and 289.04 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.88 : 1,049.84 = 289.04 : x
  2. Step 2: Convert to fraction form
    699.88/1,049.84 = 289.04/x
  3. Step 3: Cross multiply
    699.88x = 1,049.84 × 289.04
  4. Step 4: Simplify right side
    699.88x = 303,446.93
  5. Step 5: Solve for x
    x = 303,446.93/699.88
  6. Step 6: Final answer
    x = 433.57

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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.