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Finding the Fourth Proportional to 794.42, 1,185.11 and 738.48

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Solution

The fourth proportional to 794.42, 1,185.11 and 738.48 is: 1,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.42 : 1,185.11 = 738.48 : x
  2. Step 2: Convert to fraction form
    794.42/1,185.11 = 738.48/x
  3. Step 3: Cross multiply
    794.42x = 1,185.11 × 738.48
  4. Step 4: Simplify right side
    794.42x = 875,176.34
  5. Step 5: Solve for x
    x = 875,176.34/794.42
  6. Step 6: Final answer
    x = 1,101.66

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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.