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Finding the Fourth Proportional to 752.20, 1,037.08 and 486.19

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Solution

The fourth proportional to 752.20, 1,037.08 and 486.19 is: 670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.20 : 1,037.08 = 486.19 : x
  2. Step 2: Convert to fraction form
    752.20/1,037.08 = 486.19/x
  3. Step 3: Cross multiply
    752.20x = 1,037.08 × 486.19
  4. Step 4: Simplify right side
    752.20x = 504,214.12
  5. Step 5: Solve for x
    x = 504,214.12/752.20
  6. Step 6: Final answer
    x = 670.32

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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.