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Finding the Fourth Proportional to 1,476.41, 2,215.97 and 746.49

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Solution

The fourth proportional to 1,476.41, 2,215.97 and 746.49 is: 1,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.41 : 2,215.97 = 746.49 : x
  2. Step 2: Convert to fraction form
    1,476.41/2,215.97 = 746.49/x
  3. Step 3: Cross multiply
    1,476.41x = 2,215.97 × 746.49
  4. Step 4: Simplify right side
    1,476.41x = 1,654,195.71
  5. Step 5: Solve for x
    x = 1,654,195.71/1,476.41
  6. Step 6: Final answer
    x = 1,120.42

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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.