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Finding the Fourth Proportional to 801.01, 1,201.62 and 314.00

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Solution

The fourth proportional to 801.01, 1,201.62 and 314.00 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.01 : 1,201.62 = 314.00 : x
  2. Step 2: Convert to fraction form
    801.01/1,201.62 = 314.00/x
  3. Step 3: Cross multiply
    801.01x = 1,201.62 × 314.00
  4. Step 4: Simplify right side
    801.01x = 377,301.10
  5. Step 5: Solve for x
    x = 377,301.10/801.01
  6. Step 6: Final answer
    x = 471.03

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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.