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Finding the Fourth Proportional to 1,322.35, 1,982.58 and 663.76

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Solution

The fourth proportional to 1,322.35, 1,982.58 and 663.76 is: 995.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.35 : 1,982.58 = 663.76 : x
  2. Step 2: Convert to fraction form
    1,322.35/1,982.58 = 663.76/x
  3. Step 3: Cross multiply
    1,322.35x = 1,982.58 × 663.76
  4. Step 4: Simplify right side
    1,322.35x = 1,315,957.30
  5. Step 5: Solve for x
    x = 1,315,957.30/1,322.35
  6. Step 6: Final answer
    x = 995.17

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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.