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Finding the Fourth Proportional to 869.06, 1,199.49 and 606.98

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Solution

The fourth proportional to 869.06, 1,199.49 and 606.98 is: 837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.06 : 1,199.49 = 606.98 : x
  2. Step 2: Convert to fraction form
    869.06/1,199.49 = 606.98/x
  3. Step 3: Cross multiply
    869.06x = 1,199.49 × 606.98
  4. Step 4: Simplify right side
    869.06x = 728,066.44
  5. Step 5: Solve for x
    x = 728,066.44/869.06
  6. Step 6: Final answer
    x = 837.76

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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.