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Finding the Fourth Proportional to 752.11, 1,037.94 and 416.02

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Solution

The fourth proportional to 752.11, 1,037.94 and 416.02 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.11 : 1,037.94 = 416.02 : x
  2. Step 2: Convert to fraction form
    752.11/1,037.94 = 416.02/x
  3. Step 3: Cross multiply
    752.11x = 1,037.94 × 416.02
  4. Step 4: Simplify right side
    752.11x = 431,803.80
  5. Step 5: Solve for x
    x = 431,803.80/752.11
  6. Step 6: Final answer
    x = 574.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.