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Finding the Fourth Proportional to 752, 1,037.78 and 420.48

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Solution

The fourth proportional to 752, 1,037.78 and 420.48 is: 580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    752 : 1,037.78 = 420.48 : x
  2. Step 2: Convert to fraction form
    752/1,037.78 = 420.48/x
  3. Step 3: Cross multiply
    752x = 1,037.78 × 420.48
  4. Step 4: Simplify right side
    752x = 436,368.33
  5. Step 5: Solve for x
    x = 436,368.33/752
  6. Step 6: Final answer
    x = 580.28

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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.