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Finding the Fourth Proportional to 661.82, 912.25 and 521.72

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Solution

The fourth proportional to 661.82, 912.25 and 521.72 is: 719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.82 : 912.25 = 521.72 : x
  2. Step 2: Convert to fraction form
    661.82/912.25 = 521.72/x
  3. Step 3: Cross multiply
    661.82x = 912.25 × 521.72
  4. Step 4: Simplify right side
    661.82x = 475,933.20
  5. Step 5: Solve for x
    x = 475,933.20/661.82
  6. Step 6: Final answer
    x = 719.13

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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.