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Finding the Fourth Proportional to 704.76, 972.41 and 611.34

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Solution

The fourth proportional to 704.76, 972.41 and 611.34 is: 843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.76 : 972.41 = 611.34 : x
  2. Step 2: Convert to fraction form
    704.76/972.41 = 611.34/x
  3. Step 3: Cross multiply
    704.76x = 972.41 × 611.34
  4. Step 4: Simplify right side
    704.76x = 594,470.07
  5. Step 5: Solve for x
    x = 594,470.07/704.76
  6. Step 6: Final answer
    x = 843.51

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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.