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Finding the Fourth Proportional to 726.32, 1,089.65 and 213.32

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Solution

The fourth proportional to 726.32, 1,089.65 and 213.32 is: 320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.32 : 1,089.65 = 213.32 : x
  2. Step 2: Convert to fraction form
    726.32/1,089.65 = 213.32/x
  3. Step 3: Cross multiply
    726.32x = 1,089.65 × 213.32
  4. Step 4: Simplify right side
    726.32x = 232,438.69
  5. Step 5: Solve for x
    x = 232,438.69/726.32
  6. Step 6: Final answer
    x = 320.02

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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.