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Finding the Fourth Proportional to 1,246.87, 1,869.69 and 727.05

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Solution

The fourth proportional to 1,246.87, 1,869.69 and 727.05 is: 1,090.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.87 : 1,869.69 = 727.05 : x
  2. Step 2: Convert to fraction form
    1,246.87/1,869.69 = 727.05/x
  3. Step 3: Cross multiply
    1,246.87x = 1,869.69 × 727.05
  4. Step 4: Simplify right side
    1,246.87x = 1,359,358.11
  5. Step 5: Solve for x
    x = 1,359,358.11/1,246.87
  6. Step 6: Final answer
    x = 1,090.22

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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.