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Finding the Fourth Proportional to 1,322.58, 1,983.89 and 500.63

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Solution

The fourth proportional to 1,322.58, 1,983.89 and 500.63 is: 750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.58 : 1,983.89 = 500.63 : x
  2. Step 2: Convert to fraction form
    1,322.58/1,983.89 = 500.63/x
  3. Step 3: Cross multiply
    1,322.58x = 1,983.89 × 500.63
  4. Step 4: Simplify right side
    1,322.58x = 993,194.85
  5. Step 5: Solve for x
    x = 993,194.85/1,322.58
  6. Step 6: Final answer
    x = 750.95

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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.