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Finding the Fourth Proportional to 943.05, 1,301.88 and 611.74

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Solution

The fourth proportional to 943.05, 1,301.88 and 611.74 is: 844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.05 : 1,301.88 = 611.74 : x
  2. Step 2: Convert to fraction form
    943.05/1,301.88 = 611.74/x
  3. Step 3: Cross multiply
    943.05x = 1,301.88 × 611.74
  4. Step 4: Simplify right side
    943.05x = 796,412.07
  5. Step 5: Solve for x
    x = 796,412.07/943.05
  6. Step 6: Final answer
    x = 844.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.