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Finding the Fourth Proportional to 1,362.92, 2,044.64 and 438.71

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Solution

The fourth proportional to 1,362.92, 2,044.64 and 438.71 is: 658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.92 : 2,044.64 = 438.71 : x
  2. Step 2: Convert to fraction form
    1,362.92/2,044.64 = 438.71/x
  3. Step 3: Cross multiply
    1,362.92x = 2,044.64 × 438.71
  4. Step 4: Simplify right side
    1,362.92x = 896,991.60
  5. Step 5: Solve for x
    x = 896,991.60/1,362.92
  6. Step 6: Final answer
    x = 658.14

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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.