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Finding the Fourth Proportional to 696.77, 1,049.27 and 606.56

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Solution

The fourth proportional to 696.77, 1,049.27 and 606.56 is: 913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.77 : 1,049.27 = 606.56 : x
  2. Step 2: Convert to fraction form
    696.77/1,049.27 = 606.56/x
  3. Step 3: Cross multiply
    696.77x = 1,049.27 × 606.56
  4. Step 4: Simplify right side
    696.77x = 636,436.93
  5. Step 5: Solve for x
    x = 636,436.93/696.77
  6. Step 6: Final answer
    x = 913.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.