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Finding the Fourth Proportional to 752.55, 1,038.51 and 416.46

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Solution

The fourth proportional to 752.55, 1,038.51 and 416.46 is: 574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.55 : 1,038.51 = 416.46 : x
  2. Step 2: Convert to fraction form
    752.55/1,038.51 = 416.46/x
  3. Step 3: Cross multiply
    752.55x = 1,038.51 × 416.46
  4. Step 4: Simplify right side
    752.55x = 432,497.87
  5. Step 5: Solve for x
    x = 432,497.87/752.55
  6. Step 6: Final answer
    x = 574.71

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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.