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Finding the Fourth Proportional to 752.23, 1,038.11 and 416.14

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Solution

The fourth proportional to 752.23, 1,038.11 and 416.14 is: 574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.23 : 1,038.11 = 416.14 : x
  2. Step 2: Convert to fraction form
    752.23/1,038.11 = 416.14/x
  3. Step 3: Cross multiply
    752.23x = 1,038.11 × 416.14
  4. Step 4: Simplify right side
    752.23x = 431,999.10
  5. Step 5: Solve for x
    x = 431,999.10/752.23
  6. Step 6: Final answer
    x = 574.29

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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.