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Finding the Fourth Proportional to 1,108.77, 1,528.42 and 911.94

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Solution

The fourth proportional to 1,108.77, 1,528.42 and 911.94 is: 1,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.77 : 1,528.42 = 911.94 : x
  2. Step 2: Convert to fraction form
    1,108.77/1,528.42 = 911.94/x
  3. Step 3: Cross multiply
    1,108.77x = 1,528.42 × 911.94
  4. Step 4: Simplify right side
    1,108.77x = 1,393,827.33
  5. Step 5: Solve for x
    x = 1,393,827.33/1,108.77
  6. Step 6: Final answer
    x = 1,257.09

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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.