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Finding the Fourth Proportional to 1,322.46, 1,983.70 and 500.59

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Solution

The fourth proportional to 1,322.46, 1,983.70 and 500.59 is: 750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.46 : 1,983.70 = 500.59 : x
  2. Step 2: Convert to fraction form
    1,322.46/1,983.70 = 500.59/x
  3. Step 3: Cross multiply
    1,322.46x = 1,983.70 × 500.59
  4. Step 4: Simplify right side
    1,322.46x = 993,020.38
  5. Step 5: Solve for x
    x = 993,020.38/1,322.46
  6. Step 6: Final answer
    x = 750.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.