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Finding the Fourth Proportional to 720.82, 993.63 and 691.66

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Solution

The fourth proportional to 720.82, 993.63 and 691.66 is: 953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.82 : 993.63 = 691.66 : x
  2. Step 2: Convert to fraction form
    720.82/993.63 = 691.66/x
  3. Step 3: Cross multiply
    720.82x = 993.63 × 691.66
  4. Step 4: Simplify right side
    720.82x = 687,254.13
  5. Step 5: Solve for x
    x = 687,254.13/720.82
  6. Step 6: Final answer
    x = 953.43

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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.