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Finding the Fourth Proportional to 661.33, 992.94 and 588.43

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Solution

The fourth proportional to 661.33, 992.94 and 588.43 is: 883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.33 : 992.94 = 588.43 : x
  2. Step 2: Convert to fraction form
    661.33/992.94 = 588.43/x
  3. Step 3: Cross multiply
    661.33x = 992.94 × 588.43
  4. Step 4: Simplify right side
    661.33x = 584,275.68
  5. Step 5: Solve for x
    x = 584,275.68/661.33
  6. Step 6: Final answer
    x = 883.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.