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Finding the Fourth Proportional to 1,343.44, 2,013.36 and 476.92

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Solution

The fourth proportional to 1,343.44, 2,013.36 and 476.92 is: 714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.44 : 2,013.36 = 476.92 : x
  2. Step 2: Convert to fraction form
    1,343.44/2,013.36 = 476.92/x
  3. Step 3: Cross multiply
    1,343.44x = 2,013.36 × 476.92
  4. Step 4: Simplify right side
    1,343.44x = 960,211.65
  5. Step 5: Solve for x
    x = 960,211.65/1,343.44
  6. Step 6: Final answer
    x = 714.74

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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.