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Finding the Fourth Proportional to 801.46, 1,201.95 and 431.04

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Solution

The fourth proportional to 801.46, 1,201.95 and 431.04 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.46 : 1,201.95 = 431.04 : x
  2. Step 2: Convert to fraction form
    801.46/1,201.95 = 431.04/x
  3. Step 3: Cross multiply
    801.46x = 1,201.95 × 431.04
  4. Step 4: Simplify right side
    801.46x = 518,080.36
  5. Step 5: Solve for x
    x = 518,080.36/801.46
  6. Step 6: Final answer
    x = 646.42

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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.