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Finding the Fourth Proportional to 1,321.64, 1,983 and 444.50

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Solution

The fourth proportional to 1,321.64, 1,983 and 444.50 is: 666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.64 : 1,983 = 444.50 : x
  2. Step 2: Convert to fraction form
    1,321.64/1,983 = 444.50/x
  3. Step 3: Cross multiply
    1,321.64x = 1,983 × 444.50
  4. Step 4: Simplify right side
    1,321.64x = 881,443.50
  5. Step 5: Solve for x
    x = 881,443.50/1,321.64
  6. Step 6: Final answer
    x = 666.93

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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.