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Finding the Fourth Proportional to 937.55, 1,293.81 and 523.55

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Solution

The fourth proportional to 937.55, 1,293.81 and 523.55 is: 722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.55 : 1,293.81 = 523.55 : x
  2. Step 2: Convert to fraction form
    937.55/1,293.81 = 523.55/x
  3. Step 3: Cross multiply
    937.55x = 1,293.81 × 523.55
  4. Step 4: Simplify right side
    937.55x = 677,372.64
  5. Step 5: Solve for x
    x = 677,372.64/937.55
  6. Step 6: Final answer
    x = 722.49

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