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Finding the Fourth Proportional to 1,349.08, 2,022.36 and 482.92

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Solution

The fourth proportional to 1,349.08, 2,022.36 and 482.92 is: 723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.08 : 2,022.36 = 482.92 : x
  2. Step 2: Convert to fraction form
    1,349.08/2,022.36 = 482.92/x
  3. Step 3: Cross multiply
    1,349.08x = 2,022.36 × 482.92
  4. Step 4: Simplify right side
    1,349.08x = 976,638.09
  5. Step 5: Solve for x
    x = 976,638.09/1,349.08
  6. Step 6: Final answer
    x = 723.93

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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.