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Finding the Fourth Proportional to 801.37, 1,202.46 and 416.62

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Solution

The fourth proportional to 801.37, 1,202.46 and 416.62 is: 625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.37 : 1,202.46 = 416.62 : x
  2. Step 2: Convert to fraction form
    801.37/1,202.46 = 416.62/x
  3. Step 3: Cross multiply
    801.37x = 1,202.46 × 416.62
  4. Step 4: Simplify right side
    801.37x = 500,968.89
  5. Step 5: Solve for x
    x = 500,968.89/801.37
  6. Step 6: Final answer
    x = 625.14

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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.