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Finding the Fourth Proportional to 1,343.76, 2,015.68 and 369.84

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Solution

The fourth proportional to 1,343.76, 2,015.68 and 369.84 is: 554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.76 : 2,015.68 = 369.84 : x
  2. Step 2: Convert to fraction form
    1,343.76/2,015.68 = 369.84/x
  3. Step 3: Cross multiply
    1,343.76x = 2,015.68 × 369.84
  4. Step 4: Simplify right side
    1,343.76x = 745,479.09
  5. Step 5: Solve for x
    x = 745,479.09/1,343.76
  6. Step 6: Final answer
    x = 554.77

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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.