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Finding the Fourth Proportional to 1,450.64, 2,002.03 and 861.23

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Solution

The fourth proportional to 1,450.64, 2,002.03 and 861.23 is: 1,188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.64 : 2,002.03 = 861.23 : x
  2. Step 2: Convert to fraction form
    1,450.64/2,002.03 = 861.23/x
  3. Step 3: Cross multiply
    1,450.64x = 2,002.03 × 861.23
  4. Step 4: Simplify right side
    1,450.64x = 1,724,208.30
  5. Step 5: Solve for x
    x = 1,724,208.30/1,450.64
  6. Step 6: Final answer
    x = 1,188.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.