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Finding the Fourth Proportional to 1,244.61, 1,866.94 and 320.19

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Solution

The fourth proportional to 1,244.61, 1,866.94 and 320.19 is: 480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.61 : 1,866.94 = 320.19 : x
  2. Step 2: Convert to fraction form
    1,244.61/1,866.94 = 320.19/x
  3. Step 3: Cross multiply
    1,244.61x = 1,866.94 × 320.19
  4. Step 4: Simplify right side
    1,244.61x = 597,767.72
  5. Step 5: Solve for x
    x = 597,767.72/1,244.61
  6. Step 6: Final answer
    x = 480.29

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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.