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Finding the Fourth Proportional to 741.88, 1,021.17 and 687.21

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Solution

The fourth proportional to 741.88, 1,021.17 and 687.21 is: 945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.88 : 1,021.17 = 687.21 : x
  2. Step 2: Convert to fraction form
    741.88/1,021.17 = 687.21/x
  3. Step 3: Cross multiply
    741.88x = 1,021.17 × 687.21
  4. Step 4: Simplify right side
    741.88x = 701,758.24
  5. Step 5: Solve for x
    x = 701,758.24/741.88
  6. Step 6: Final answer
    x = 945.92

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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.