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Finding the Fourth Proportional to 1,148.38, 1,721.74 and 819.32

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Solution

The fourth proportional to 1,148.38, 1,721.74 and 819.32 is: 1,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.38 : 1,721.74 = 819.32 : x
  2. Step 2: Convert to fraction form
    1,148.38/1,721.74 = 819.32/x
  3. Step 3: Cross multiply
    1,148.38x = 1,721.74 × 819.32
  4. Step 4: Simplify right side
    1,148.38x = 1,410,656.02
  5. Step 5: Solve for x
    x = 1,410,656.02/1,148.38
  6. Step 6: Final answer
    x = 1,228.39

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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.