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Finding the Fourth Proportional to 738.42, 1,106.19 and 635.70

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Solution

The fourth proportional to 738.42, 1,106.19 and 635.70 is: 952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.42 : 1,106.19 = 635.70 : x
  2. Step 2: Convert to fraction form
    738.42/1,106.19 = 635.70/x
  3. Step 3: Cross multiply
    738.42x = 1,106.19 × 635.70
  4. Step 4: Simplify right side
    738.42x = 703,204.98
  5. Step 5: Solve for x
    x = 703,204.98/738.42
  6. Step 6: Final answer
    x = 952.31

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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.