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Finding the Fourth Proportional to 687.42, 947.73 and 568.96

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Solution

The fourth proportional to 687.42, 947.73 and 568.96 is: 784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.42 : 947.73 = 568.96 : x
  2. Step 2: Convert to fraction form
    687.42/947.73 = 568.96/x
  3. Step 3: Cross multiply
    687.42x = 947.73 × 568.96
  4. Step 4: Simplify right side
    687.42x = 539,220.23
  5. Step 5: Solve for x
    x = 539,220.23/687.42
  6. Step 6: Final answer
    x = 784.41

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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.