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Finding the Fourth Proportional to 1,107.57, 1,528.43 and 610.19

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Solution

The fourth proportional to 1,107.57, 1,528.43 and 610.19 is: 842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.57 : 1,528.43 = 610.19 : x
  2. Step 2: Convert to fraction form
    1,107.57/1,528.43 = 610.19/x
  3. Step 3: Cross multiply
    1,107.57x = 1,528.43 × 610.19
  4. Step 4: Simplify right side
    1,107.57x = 932,638.05
  5. Step 5: Solve for x
    x = 932,638.05/1,107.57
  6. Step 6: Final answer
    x = 842.06

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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.