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Finding the Fourth Proportional to 880.98, 1,214.34 and 863.70

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Solution

The fourth proportional to 880.98, 1,214.34 and 863.70 is: 1,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.98 : 1,214.34 = 863.70 : x
  2. Step 2: Convert to fraction form
    880.98/1,214.34 = 863.70/x
  3. Step 3: Cross multiply
    880.98x = 1,214.34 × 863.70
  4. Step 4: Simplify right side
    880.98x = 1,048,825.46
  5. Step 5: Solve for x
    x = 1,048,825.46/880.98
  6. Step 6: Final answer
    x = 1,190.52

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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.