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Finding the Fourth Proportional to 1,233.84, 1,850.79 and 584.64

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Solution

The fourth proportional to 1,233.84, 1,850.79 and 584.64 is: 876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.84 : 1,850.79 = 584.64 : x
  2. Step 2: Convert to fraction form
    1,233.84/1,850.79 = 584.64/x
  3. Step 3: Cross multiply
    1,233.84x = 1,850.79 × 584.64
  4. Step 4: Simplify right side
    1,233.84x = 1,082,045.87
  5. Step 5: Solve for x
    x = 1,082,045.87/1,233.84
  6. Step 6: Final answer
    x = 876.97

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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.