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Finding the Fourth Proportional to 1,107.78, 1,528.62 and 610.39

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Solution

The fourth proportional to 1,107.78, 1,528.62 and 610.39 is: 842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.78 : 1,528.62 = 610.39 : x
  2. Step 2: Convert to fraction form
    1,107.78/1,528.62 = 610.39/x
  3. Step 3: Cross multiply
    1,107.78x = 1,528.62 × 610.39
  4. Step 4: Simplify right side
    1,107.78x = 933,057.42
  5. Step 5: Solve for x
    x = 933,057.42/1,107.78
  6. Step 6: Final answer
    x = 842.28

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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.