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Finding the Fourth Proportional to 878.75, 1,213.18 and 580.01

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Solution

The fourth proportional to 878.75, 1,213.18 and 580.01 is: 800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.75 : 1,213.18 = 580.01 : x
  2. Step 2: Convert to fraction form
    878.75/1,213.18 = 580.01/x
  3. Step 3: Cross multiply
    878.75x = 1,213.18 × 580.01
  4. Step 4: Simplify right side
    878.75x = 703,655.84
  5. Step 5: Solve for x
    x = 703,655.84/878.75
  6. Step 6: Final answer
    x = 800.75

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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.