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Finding the Fourth Proportional to 1,108.78, 1,530.09 and 611.44

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Solution

The fourth proportional to 1,108.78, 1,530.09 and 611.44 is: 843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.78 : 1,530.09 = 611.44 : x
  2. Step 2: Convert to fraction form
    1,108.78/1,530.09 = 611.44/x
  3. Step 3: Cross multiply
    1,108.78x = 1,530.09 × 611.44
  4. Step 4: Simplify right side
    1,108.78x = 935,554.40
  5. Step 5: Solve for x
    x = 935,554.40/1,108.78
  6. Step 6: Final answer
    x = 843.77

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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.