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Finding the Fourth Proportional to 1,343.57, 2,015.40 and 369.75

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Solution

The fourth proportional to 1,343.57, 2,015.40 and 369.75 is: 554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.57 : 2,015.40 = 369.75 : x
  2. Step 2: Convert to fraction form
    1,343.57/2,015.40 = 369.75/x
  3. Step 3: Cross multiply
    1,343.57x = 2,015.40 × 369.75
  4. Step 4: Simplify right side
    1,343.57x = 745,194.15
  5. Step 5: Solve for x
    x = 745,194.15/1,343.57
  6. Step 6: Final answer
    x = 554.64

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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.