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Finding the Fourth Proportional to 937.76, 1,294.08 and 523.68

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Solution

The fourth proportional to 937.76, 1,294.08 and 523.68 is: 722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.76 : 1,294.08 = 523.68 : x
  2. Step 2: Convert to fraction form
    937.76/1,294.08 = 523.68/x
  3. Step 3: Cross multiply
    937.76x = 1,294.08 × 523.68
  4. Step 4: Simplify right side
    937.76x = 677,683.81
  5. Step 5: Solve for x
    x = 677,683.81/937.76
  6. Step 6: Final answer
    x = 722.66

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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.