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Finding the Fourth Proportional to 752.74, 1,038.82 and 421.24

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Solution

The fourth proportional to 752.74, 1,038.82 and 421.24 is: 581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.74 : 1,038.82 = 421.24 : x
  2. Step 2: Convert to fraction form
    752.74/1,038.82 = 421.24/x
  3. Step 3: Cross multiply
    752.74x = 1,038.82 × 421.24
  4. Step 4: Simplify right side
    752.74x = 437,592.54
  5. Step 5: Solve for x
    x = 437,592.54/752.74
  6. Step 6: Final answer
    x = 581.33

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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.