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Finding the Fourth Proportional to 801.57, 1,201.55 and 313.95

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Solution

The fourth proportional to 801.57, 1,201.55 and 313.95 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.57 : 1,201.55 = 313.95 : x
  2. Step 2: Convert to fraction form
    801.57/1,201.55 = 313.95/x
  3. Step 3: Cross multiply
    801.57x = 1,201.55 × 313.95
  4. Step 4: Simplify right side
    801.57x = 377,225.05
  5. Step 5: Solve for x
    x = 377,225.05/801.57
  6. Step 6: Final answer
    x = 470.61

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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.