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Finding the Fourth Proportional to 737.50, 1,018.20 and 475.98

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Solution

The fourth proportional to 737.50, 1,018.20 and 475.98 is: 657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.50 : 1,018.20 = 475.98 : x
  2. Step 2: Convert to fraction form
    737.50/1,018.20 = 475.98/x
  3. Step 3: Cross multiply
    737.50x = 1,018.20 × 475.98
  4. Step 4: Simplify right side
    737.50x = 484,642.84
  5. Step 5: Solve for x
    x = 484,642.84/737.50
  6. Step 6: Final answer
    x = 657.14

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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.