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Finding the Fourth Proportional to 881.93, 1,218.02 and 588.44

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Solution

The fourth proportional to 881.93, 1,218.02 and 588.44 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.93 : 1,218.02 = 588.44 : x
  2. Step 2: Convert to fraction form
    881.93/1,218.02 = 588.44/x
  3. Step 3: Cross multiply
    881.93x = 1,218.02 × 588.44
  4. Step 4: Simplify right side
    881.93x = 716,722.66
  5. Step 5: Solve for x
    x = 716,722.66/881.93
  6. Step 6: Final answer
    x = 812.68

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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.