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Finding the Fourth Proportional to 1,317.97, 1,976.07 and 452.08

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Solution

The fourth proportional to 1,317.97, 1,976.07 and 452.08 is: 677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.97 : 1,976.07 = 452.08 : x
  2. Step 2: Convert to fraction form
    1,317.97/1,976.07 = 452.08/x
  3. Step 3: Cross multiply
    1,317.97x = 1,976.07 × 452.08
  4. Step 4: Simplify right side
    1,317.97x = 893,331.85
  5. Step 5: Solve for x
    x = 893,331.85/1,317.97
  6. Step 6: Final answer
    x = 677.81

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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.