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Finding the Fourth Proportional to 693.97, 1,035.32 and 675.14

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Solution

The fourth proportional to 693.97, 1,035.32 and 675.14 is: 1,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.97 : 1,035.32 = 675.14 : x
  2. Step 2: Convert to fraction form
    693.97/1,035.32 = 675.14/x
  3. Step 3: Cross multiply
    693.97x = 1,035.32 × 675.14
  4. Step 4: Simplify right side
    693.97x = 698,977.39
  5. Step 5: Solve for x
    x = 698,977.39/693.97
  6. Step 6: Final answer
    x = 1,007.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.