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Finding the Fourth Proportional to 737.53, 1,105.06 and 520.66

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Solution

The fourth proportional to 737.53, 1,105.06 and 520.66 is: 780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.53 : 1,105.06 = 520.66 : x
  2. Step 2: Convert to fraction form
    737.53/1,105.06 = 520.66/x
  3. Step 3: Cross multiply
    737.53x = 1,105.06 × 520.66
  4. Step 4: Simplify right side
    737.53x = 575,360.54
  5. Step 5: Solve for x
    x = 575,360.54/737.53
  6. Step 6: Final answer
    x = 780.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.