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Finding the Fourth Proportional to 752.04, 1,037.79 and 420.50

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Solution

The fourth proportional to 752.04, 1,037.79 and 420.50 is: 580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.04 : 1,037.79 = 420.50 : x
  2. Step 2: Convert to fraction form
    752.04/1,037.79 = 420.50/x
  3. Step 3: Cross multiply
    752.04x = 1,037.79 × 420.50
  4. Step 4: Simplify right side
    752.04x = 436,393.29
  5. Step 5: Solve for x
    x = 436,393.29/752.04
  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.