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Finding the Fourth Proportional to 801.24, 1,202.06 and 307.64

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Solution

The fourth proportional to 801.24, 1,202.06 and 307.64 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.24 : 1,202.06 = 307.64 : x
  2. Step 2: Convert to fraction form
    801.24/1,202.06 = 307.64/x
  3. Step 3: Cross multiply
    801.24x = 1,202.06 × 307.64
  4. Step 4: Simplify right side
    801.24x = 369,801.74
  5. Step 5: Solve for x
    x = 369,801.74/801.24
  6. Step 6: Final answer
    x = 461.54

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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.