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Finding the Fourth Proportional to 749.71, 1,118.84 and 667.70

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Solution

The fourth proportional to 749.71, 1,118.84 and 667.70 is: 996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.71 : 1,118.84 = 667.70 : x
  2. Step 2: Convert to fraction form
    749.71/1,118.84 = 667.70/x
  3. Step 3: Cross multiply
    749.71x = 1,118.84 × 667.70
  4. Step 4: Simplify right side
    749.71x = 747,048.49
  5. Step 5: Solve for x
    x = 747,048.49/749.71
  6. Step 6: Final answer
    x = 996.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.