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Finding the Fourth Proportional to 1,228.71, 1,842.54 and 448.47

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Solution

The fourth proportional to 1,228.71, 1,842.54 and 448.47 is: 672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.71 : 1,842.54 = 448.47 : x
  2. Step 2: Convert to fraction form
    1,228.71/1,842.54 = 448.47/x
  3. Step 3: Cross multiply
    1,228.71x = 1,842.54 × 448.47
  4. Step 4: Simplify right side
    1,228.71x = 826,323.91
  5. Step 5: Solve for x
    x = 826,323.91/1,228.71
  6. Step 6: Final answer
    x = 672.51

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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.