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Finding the Fourth Proportional to 752.14, 1,037.92 and 420.50

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Solution

The fourth proportional to 752.14, 1,037.92 and 420.50 is: 580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.14 : 1,037.92 = 420.50 : x
  2. Step 2: Convert to fraction form
    752.14/1,037.92 = 420.50/x
  3. Step 3: Cross multiply
    752.14x = 1,037.92 × 420.50
  4. Step 4: Simplify right side
    752.14x = 436,445.36
  5. Step 5: Solve for x
    x = 436,445.36/752.14
  6. Step 6: Final answer
    x = 580.27

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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.