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Finding the Fourth Proportional to 726.79, 1,090.73 and 584.23

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Solution

The fourth proportional to 726.79, 1,090.73 and 584.23 is: 876.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.79 : 1,090.73 = 584.23 : x
  2. Step 2: Convert to fraction form
    726.79/1,090.73 = 584.23/x
  3. Step 3: Cross multiply
    726.79x = 1,090.73 × 584.23
  4. Step 4: Simplify right side
    726.79x = 637,237.19
  5. Step 5: Solve for x
    x = 637,237.19/726.79
  6. Step 6: Final answer
    x = 876.78

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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.