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Finding the Fourth Proportional to 867.79, 1,196.74 and 588.43

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Solution

The fourth proportional to 867.79, 1,196.74 and 588.43 is: 811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.79 : 1,196.74 = 588.43 : x
  2. Step 2: Convert to fraction form
    867.79/1,196.74 = 588.43/x
  3. Step 3: Cross multiply
    867.79x = 1,196.74 × 588.43
  4. Step 4: Simplify right side
    867.79x = 704,197.72
  5. Step 5: Solve for x
    x = 704,197.72/867.79
  6. Step 6: Final answer
    x = 811.48

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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.