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Finding the Fourth Proportional to 737.65, 1,018.16 and 476.12

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Solution

The fourth proportional to 737.65, 1,018.16 and 476.12 is: 657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.65 : 1,018.16 = 476.12 : x
  2. Step 2: Convert to fraction form
    737.65/1,018.16 = 476.12/x
  3. Step 3: Cross multiply
    737.65x = 1,018.16 × 476.12
  4. Step 4: Simplify right side
    737.65x = 484,766.34
  5. Step 5: Solve for x
    x = 484,766.34/737.65
  6. Step 6: Final answer
    x = 657.18

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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.