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Finding the Fourth Proportional to 1,293.76, 1,943.68 and 807.15

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Solution

The fourth proportional to 1,293.76, 1,943.68 and 807.15 is: 1,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.76 : 1,943.68 = 807.15 : x
  2. Step 2: Convert to fraction form
    1,293.76/1,943.68 = 807.15/x
  3. Step 3: Cross multiply
    1,293.76x = 1,943.68 × 807.15
  4. Step 4: Simplify right side
    1,293.76x = 1,568,841.31
  5. Step 5: Solve for x
    x = 1,568,841.31/1,293.76
  6. Step 6: Final answer
    x = 1,212.62

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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.