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Finding the Fourth Proportional to 752.56, 1,038.54 and 438.02

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Solution

The fourth proportional to 752.56, 1,038.54 and 438.02 is: 604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.56 : 1,038.54 = 438.02 : x
  2. Step 2: Convert to fraction form
    752.56/1,038.54 = 438.02/x
  3. Step 3: Cross multiply
    752.56x = 1,038.54 × 438.02
  4. Step 4: Simplify right side
    752.56x = 454,901.29
  5. Step 5: Solve for x
    x = 454,901.29/752.56
  6. Step 6: Final answer
    x = 604.47

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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.