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Finding the Fourth Proportional to 919.84, 1,269.14 and 905.98

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Solution

The fourth proportional to 919.84, 1,269.14 and 905.98 is: 1,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.84 : 1,269.14 = 905.98 : x
  2. Step 2: Convert to fraction form
    919.84/1,269.14 = 905.98/x
  3. Step 3: Cross multiply
    919.84x = 1,269.14 × 905.98
  4. Step 4: Simplify right side
    919.84x = 1,149,815.46
  5. Step 5: Solve for x
    x = 1,149,815.46/919.84
  6. Step 6: Final answer
    x = 1,250.02

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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.