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Finding the Fourth Proportional to 1,322.38, 1,983.90 and 500.68

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Solution

The fourth proportional to 1,322.38, 1,983.90 and 500.68 is: 751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.38 : 1,983.90 = 500.68 : x
  2. Step 2: Convert to fraction form
    1,322.38/1,983.90 = 500.68/x
  3. Step 3: Cross multiply
    1,322.38x = 1,983.90 × 500.68
  4. Step 4: Simplify right side
    1,322.38x = 993,299.05
  5. Step 5: Solve for x
    x = 993,299.05/1,322.38
  6. Step 6: Final answer
    x = 751.14

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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.