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Finding the Fourth Proportional to 737.64, 1,018.08 and 475.74

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Solution

The fourth proportional to 737.64, 1,018.08 and 475.74 is: 656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.64 : 1,018.08 = 475.74 : x
  2. Step 2: Convert to fraction form
    737.64/1,018.08 = 475.74/x
  3. Step 3: Cross multiply
    737.64x = 1,018.08 × 475.74
  4. Step 4: Simplify right side
    737.64x = 484,341.38
  5. Step 5: Solve for x
    x = 484,341.38/737.64
  6. Step 6: Final answer
    x = 656.61

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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.