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Finding the Fourth Proportional to 878.34, 1,212.50 and 584.01

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Solution

The fourth proportional to 878.34, 1,212.50 and 584.01 is: 806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.34 : 1,212.50 = 584.01 : x
  2. Step 2: Convert to fraction form
    878.34/1,212.50 = 584.01/x
  3. Step 3: Cross multiply
    878.34x = 1,212.50 × 584.01
  4. Step 4: Simplify right side
    878.34x = 708,109.20
  5. Step 5: Solve for x
    x = 708,109.20/878.34
  6. Step 6: Final answer
    x = 806.19

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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.