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Finding the Fourth Proportional to 687.27, 1,023.75 and 650.01

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Solution

The fourth proportional to 687.27, 1,023.75 and 650.01 is: 968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.27 : 1,023.75 = 650.01 : x
  2. Step 2: Convert to fraction form
    687.27/1,023.75 = 650.01/x
  3. Step 3: Cross multiply
    687.27x = 1,023.75 × 650.01
  4. Step 4: Simplify right side
    687.27x = 665,447.74
  5. Step 5: Solve for x
    x = 665,447.74/687.27
  6. Step 6: Final answer
    x = 968.25

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Why These Related Problems?

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