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Finding the Fourth Proportional to 1,317.64, 1,976.44 and 343.66

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Solution

The fourth proportional to 1,317.64, 1,976.44 and 343.66 is: 515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.64 : 1,976.44 = 343.66 : x
  2. Step 2: Convert to fraction form
    1,317.64/1,976.44 = 343.66/x
  3. Step 3: Cross multiply
    1,317.64x = 1,976.44 × 343.66
  4. Step 4: Simplify right side
    1,317.64x = 679,223.37
  5. Step 5: Solve for x
    x = 679,223.37/1,317.64
  6. Step 6: Final answer
    x = 515.48

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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.