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Finding the Fourth Proportional to 752.41, 1,037.33 and 575.48

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Solution

The fourth proportional to 752.41, 1,037.33 and 575.48 is: 793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.41 : 1,037.33 = 575.48 : x
  2. Step 2: Convert to fraction form
    752.41/1,037.33 = 575.48/x
  3. Step 3: Cross multiply
    752.41x = 1,037.33 × 575.48
  4. Step 4: Simplify right side
    752.41x = 596,962.67
  5. Step 5: Solve for x
    x = 596,962.67/752.41
  6. Step 6: Final answer
    x = 793.40

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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.