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Finding the Fourth Proportional to 726.72, 1,087.68 and 589.32

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Solution

The fourth proportional to 726.72, 1,087.68 and 589.32 is: 882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.72 : 1,087.68 = 589.32 : x
  2. Step 2: Convert to fraction form
    726.72/1,087.68 = 589.32/x
  3. Step 3: Cross multiply
    726.72x = 1,087.68 × 589.32
  4. Step 4: Simplify right side
    726.72x = 640,991.58
  5. Step 5: Solve for x
    x = 640,991.58/726.72
  6. Step 6: Final answer
    x = 882.03

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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.