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Finding the Fourth Proportional to 801.08, 1,201.21 and 476.27

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Solution

The fourth proportional to 801.08, 1,201.21 and 476.27 is: 714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.08 : 1,201.21 = 476.27 : x
  2. Step 2: Convert to fraction form
    801.08/1,201.21 = 476.27/x
  3. Step 3: Cross multiply
    801.08x = 1,201.21 × 476.27
  4. Step 4: Simplify right side
    801.08x = 572,100.29
  5. Step 5: Solve for x
    x = 572,100.29/801.08
  6. Step 6: Final answer
    x = 714.16

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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.