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Finding the Fourth Proportional to 1,322.12, 1,983.83 and 591.50

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Solution

The fourth proportional to 1,322.12, 1,983.83 and 591.50 is: 887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.12 : 1,983.83 = 591.50 : x
  2. Step 2: Convert to fraction form
    1,322.12/1,983.83 = 591.50/x
  3. Step 3: Cross multiply
    1,322.12x = 1,983.83 × 591.50
  4. Step 4: Simplify right side
    1,322.12x = 1,173,437.45
  5. Step 5: Solve for x
    x = 1,173,437.45/1,322.12
  6. Step 6: Final answer
    x = 887.54

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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.