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Finding the Fourth Proportional to 726.90, 1,085.06 and 673.50

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Solution

The fourth proportional to 726.90, 1,085.06 and 673.50 is: 1,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.90 : 1,085.06 = 673.50 : x
  2. Step 2: Convert to fraction form
    726.90/1,085.06 = 673.50/x
  3. Step 3: Cross multiply
    726.90x = 1,085.06 × 673.50
  4. Step 4: Simplify right side
    726.90x = 730,787.91
  5. Step 5: Solve for x
    x = 730,787.91/726.90
  6. Step 6: Final answer
    x = 1,005.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.