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Finding the Fourth Proportional to 752.57, 1,038.59 and 416.48

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Solution

The fourth proportional to 752.57, 1,038.59 and 416.48 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.57 : 1,038.59 = 416.48 : x
  2. Step 2: Convert to fraction form
    752.57/1,038.59 = 416.48/x
  3. Step 3: Cross multiply
    752.57x = 1,038.59 × 416.48
  4. Step 4: Simplify right side
    752.57x = 432,544.69
  5. Step 5: Solve for x
    x = 432,544.69/752.57
  6. Step 6: Final answer
    x = 574.76

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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.