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Finding the Fourth Proportional to 752.88, 1,038.96 and 438.21

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Solution

The fourth proportional to 752.88, 1,038.96 and 438.21 is: 604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.88 : 1,038.96 = 438.21 : x
  2. Step 2: Convert to fraction form
    752.88/1,038.96 = 438.21/x
  3. Step 3: Cross multiply
    752.88x = 1,038.96 × 438.21
  4. Step 4: Simplify right side
    752.88x = 455,282.66
  5. Step 5: Solve for x
    x = 455,282.66/752.88
  6. Step 6: Final answer
    x = 604.72

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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.