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Finding the Fourth Proportional to 687.11, 947.81 and 561.26

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Solution

The fourth proportional to 687.11, 947.81 and 561.26 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.11 : 947.81 = 561.26 : x
  2. Step 2: Convert to fraction form
    687.11/947.81 = 561.26/x
  3. Step 3: Cross multiply
    687.11x = 947.81 × 561.26
  4. Step 4: Simplify right side
    687.11x = 531,971.61
  5. Step 5: Solve for x
    x = 531,971.61/687.11
  6. Step 6: Final answer
    x = 774.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.