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Finding the Fourth Proportional to 704.81, 971.97 and 529.85

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Solution

The fourth proportional to 704.81, 971.97 and 529.85 is: 730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.81 : 971.97 = 529.85 : x
  2. Step 2: Convert to fraction form
    704.81/971.97 = 529.85/x
  3. Step 3: Cross multiply
    704.81x = 971.97 × 529.85
  4. Step 4: Simplify right side
    704.81x = 514,998.30
  5. Step 5: Solve for x
    x = 514,998.30/704.81
  6. Step 6: Final answer
    x = 730.69

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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.