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Finding the Fourth Proportional to 752.22, 1,037.75 and 500.45

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Solution

The fourth proportional to 752.22, 1,037.75 and 500.45 is: 690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.22 : 1,037.75 = 500.45 : x
  2. Step 2: Convert to fraction form
    752.22/1,037.75 = 500.45/x
  3. Step 3: Cross multiply
    752.22x = 1,037.75 × 500.45
  4. Step 4: Simplify right side
    752.22x = 519,334.30
  5. Step 5: Solve for x
    x = 519,334.30/752.22
  6. Step 6: Final answer
    x = 690.40

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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.