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Finding the Fourth Proportional to 750.73, 1,126.04 and 311.78

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Solution

The fourth proportional to 750.73, 1,126.04 and 311.78 is: 467.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.73 : 1,126.04 = 311.78 : x
  2. Step 2: Convert to fraction form
    750.73/1,126.04 = 311.78/x
  3. Step 3: Cross multiply
    750.73x = 1,126.04 × 311.78
  4. Step 4: Simplify right side
    750.73x = 351,075.19
  5. Step 5: Solve for x
    x = 351,075.19/750.73
  6. Step 6: Final answer
    x = 467.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.