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Finding the Fourth Proportional to 752.19, 1,037.96 and 420.55

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Solution

The fourth proportional to 752.19, 1,037.96 and 420.55 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.19 : 1,037.96 = 420.55 : x
  2. Step 2: Convert to fraction form
    752.19/1,037.96 = 420.55/x
  3. Step 3: Cross multiply
    752.19x = 1,037.96 × 420.55
  4. Step 4: Simplify right side
    752.19x = 436,514.08
  5. Step 5: Solve for x
    x = 436,514.08/752.19
  6. Step 6: Final answer
    x = 580.32

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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.