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Finding the Fourth Proportional to 704.88, 972.21 and 673.86

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Solution

The fourth proportional to 704.88, 972.21 and 673.86 is: 929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.88 : 972.21 = 673.86 : x
  2. Step 2: Convert to fraction form
    704.88/972.21 = 673.86/x
  3. Step 3: Cross multiply
    704.88x = 972.21 × 673.86
  4. Step 4: Simplify right side
    704.88x = 655,133.43
  5. Step 5: Solve for x
    x = 655,133.43/704.88
  6. Step 6: Final answer
    x = 929.43

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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.