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Finding the Fourth Proportional to 937.98, 1,407.24 and 475.74

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Solution

The fourth proportional to 937.98, 1,407.24 and 475.74 is: 713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.98 : 1,407.24 = 475.74 : x
  2. Step 2: Convert to fraction form
    937.98/1,407.24 = 475.74/x
  3. Step 3: Cross multiply
    937.98x = 1,407.24 × 475.74
  4. Step 4: Simplify right side
    937.98x = 669,480.36
  5. Step 5: Solve for x
    x = 669,480.36/937.98
  6. Step 6: Final answer
    x = 713.75

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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.