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Finding the Fourth Proportional to 687.63, 947.12 and 520.23

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Solution

The fourth proportional to 687.63, 947.12 and 520.23 is: 716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.63 : 947.12 = 520.23 : x
  2. Step 2: Convert to fraction form
    687.63/947.12 = 520.23/x
  3. Step 3: Cross multiply
    687.63x = 947.12 × 520.23
  4. Step 4: Simplify right side
    687.63x = 492,717.64
  5. Step 5: Solve for x
    x = 492,717.64/687.63
  6. Step 6: Final answer
    x = 716.54

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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.