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Finding the Fourth Proportional to 654.38, 901.74 and 602

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Solution

The fourth proportional to 654.38, 901.74 and 602 is: 829.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.38 : 901.74 = 602 : x
  2. Step 2: Convert to fraction form
    654.38/901.74 = 602/x
  3. Step 3: Cross multiply
    654.38x = 901.74 × 602
  4. Step 4: Simplify right side
    654.38x = 542,847.48
  5. Step 5: Solve for x
    x = 542,847.48/654.38
  6. Step 6: Final answer
    x = 829.56

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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.