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Finding the Fourth Proportional to 1,285.74, 1,774.24 and 726.23

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Solution

The fourth proportional to 1,285.74, 1,774.24 and 726.23 is: 1,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.74 : 1,774.24 = 726.23 : x
  2. Step 2: Convert to fraction form
    1,285.74/1,774.24 = 726.23/x
  3. Step 3: Cross multiply
    1,285.74x = 1,774.24 × 726.23
  4. Step 4: Simplify right side
    1,285.74x = 1,288,502.68
  5. Step 5: Solve for x
    x = 1,288,502.68/1,285.74
  6. Step 6: Final answer
    x = 1,002.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.