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Finding the Fourth Proportional to 801.54, 1,202.19 and 390.57

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Solution

The fourth proportional to 801.54, 1,202.19 and 390.57 is: 585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.54 : 1,202.19 = 390.57 : x
  2. Step 2: Convert to fraction form
    801.54/1,202.19 = 390.57/x
  3. Step 3: Cross multiply
    801.54x = 1,202.19 × 390.57
  4. Step 4: Simplify right side
    801.54x = 469,539.35
  5. Step 5: Solve for x
    x = 469,539.35/801.54
  6. Step 6: Final answer
    x = 585.80

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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.