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Finding the Fourth Proportional to 878.70, 1,212.57 and 563.52

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Solution

The fourth proportional to 878.70, 1,212.57 and 563.52 is: 777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.70 : 1,212.57 = 563.52 : x
  2. Step 2: Convert to fraction form
    878.70/1,212.57 = 563.52/x
  3. Step 3: Cross multiply
    878.70x = 1,212.57 × 563.52
  4. Step 4: Simplify right side
    878.70x = 683,307.45
  5. Step 5: Solve for x
    x = 683,307.45/878.70
  6. Step 6: Final answer
    x = 777.63

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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.