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Finding the Fourth Proportional to 1,322.73, 1,983.93 and 500.78

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Solution

The fourth proportional to 1,322.73, 1,983.93 and 500.78 is: 751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.73 : 1,983.93 = 500.78 : x
  2. Step 2: Convert to fraction form
    1,322.73/1,983.93 = 500.78/x
  3. Step 3: Cross multiply
    1,322.73x = 1,983.93 × 500.78
  4. Step 4: Simplify right side
    1,322.73x = 993,515.55
  5. Step 5: Solve for x
    x = 993,515.55/1,322.73
  6. Step 6: Final answer
    x = 751.11

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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.