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Finding the Fourth Proportional to 693.82, 952.07 and 631.16

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Solution

The fourth proportional to 693.82, 952.07 and 631.16 is: 866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.82 : 952.07 = 631.16 : x
  2. Step 2: Convert to fraction form
    693.82/952.07 = 631.16/x
  3. Step 3: Cross multiply
    693.82x = 952.07 × 631.16
  4. Step 4: Simplify right side
    693.82x = 600,907.71
  5. Step 5: Solve for x
    x = 600,907.71/693.82
  6. Step 6: Final answer
    x = 866.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.