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Finding the Fourth Proportional to 878.84, 1,213.29 and 584.51

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Solution

The fourth proportional to 878.84, 1,213.29 and 584.51 is: 806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.84 : 1,213.29 = 584.51 : x
  2. Step 2: Convert to fraction form
    878.84/1,213.29 = 584.51/x
  3. Step 3: Cross multiply
    878.84x = 1,213.29 × 584.51
  4. Step 4: Simplify right side
    878.84x = 709,174.07
  5. Step 5: Solve for x
    x = 709,174.07/878.84
  6. Step 6: Final answer
    x = 806.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.