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Finding the Fourth Proportional to 1,091.70, 1,637.46 and 322.20

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Solution

The fourth proportional to 1,091.70, 1,637.46 and 322.20 is: 483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.70 : 1,637.46 = 322.20 : x
  2. Step 2: Convert to fraction form
    1,091.70/1,637.46 = 322.20/x
  3. Step 3: Cross multiply
    1,091.70x = 1,637.46 × 322.20
  4. Step 4: Simplify right side
    1,091.70x = 527,589.61
  5. Step 5: Solve for x
    x = 527,589.61/1,091.70
  6. Step 6: Final answer
    x = 483.27

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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.