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Finding the Fourth Proportional to 1,317.27, 1,976.01 and 343.38

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Solution

The fourth proportional to 1,317.27, 1,976.01 and 343.38 is: 515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.27 : 1,976.01 = 343.38 : x
  2. Step 2: Convert to fraction form
    1,317.27/1,976.01 = 343.38/x
  3. Step 3: Cross multiply
    1,317.27x = 1,976.01 × 343.38
  4. Step 4: Simplify right side
    1,317.27x = 678,522.31
  5. Step 5: Solve for x
    x = 678,522.31/1,317.27
  6. Step 6: Final answer
    x = 515.10

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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.