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Finding the Fourth Proportional to 661.34, 990.79 and 588.44

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Solution

The fourth proportional to 661.34, 990.79 and 588.44 is: 881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.34 : 990.79 = 588.44 : x
  2. Step 2: Convert to fraction form
    661.34/990.79 = 588.44/x
  3. Step 3: Cross multiply
    661.34x = 990.79 × 588.44
  4. Step 4: Simplify right side
    661.34x = 583,014.04
  5. Step 5: Solve for x
    x = 583,014.04/661.34
  6. Step 6: Final answer
    x = 881.57

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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.