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Finding the Fourth Proportional to 704.35, 971.22 and 576.20

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Solution

The fourth proportional to 704.35, 971.22 and 576.20 is: 794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.35 : 971.22 = 576.20 : x
  2. Step 2: Convert to fraction form
    704.35/971.22 = 576.20/x
  3. Step 3: Cross multiply
    704.35x = 971.22 × 576.20
  4. Step 4: Simplify right side
    704.35x = 559,615.75
  5. Step 5: Solve for x
    x = 559,615.75/704.35
  6. Step 6: Final answer
    x = 794.51

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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.