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Finding the Fourth Proportional to 937.46, 1,408.93 and 926.53

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Solution

The fourth proportional to 937.46, 1,408.93 and 926.53 is: 1,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.46 : 1,408.93 = 926.53 : x
  2. Step 2: Convert to fraction form
    937.46/1,408.93 = 926.53/x
  3. Step 3: Cross multiply
    937.46x = 1,408.93 × 926.53
  4. Step 4: Simplify right side
    937.46x = 1,305,410.07
  5. Step 5: Solve for x
    x = 1,305,410.07/937.46
  6. Step 6: Final answer
    x = 1,392.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.