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Finding the Fourth Proportional to 777.02, 1,164.22 and 748.57

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Solution

The fourth proportional to 777.02, 1,164.22 and 748.57 is: 1,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.02 : 1,164.22 = 748.57 : x
  2. Step 2: Convert to fraction form
    777.02/1,164.22 = 748.57/x
  3. Step 3: Cross multiply
    777.02x = 1,164.22 × 748.57
  4. Step 4: Simplify right side
    777.02x = 871,496.42
  5. Step 5: Solve for x
    x = 871,496.42/777.02
  6. Step 6: Final answer
    x = 1,121.59

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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.