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Finding the Fourth Proportional to 869.06, 1,199.16 and 496.01

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Solution

The fourth proportional to 869.06, 1,199.16 and 496.01 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.06 : 1,199.16 = 496.01 : x
  2. Step 2: Convert to fraction form
    869.06/1,199.16 = 496.01/x
  3. Step 3: Cross multiply
    869.06x = 1,199.16 × 496.01
  4. Step 4: Simplify right side
    869.06x = 594,789.36
  5. Step 5: Solve for x
    x = 594,789.36/869.06
  6. Step 6: Final answer
    x = 684.41

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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.