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Finding the Fourth Proportional to 1,450.70, 2,002.66 and 891.64

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Solution

The fourth proportional to 1,450.70, 2,002.66 and 891.64 is: 1,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.70 : 2,002.66 = 891.64 : x
  2. Step 2: Convert to fraction form
    1,450.70/2,002.66 = 891.64/x
  3. Step 3: Cross multiply
    1,450.70x = 2,002.66 × 891.64
  4. Step 4: Simplify right side
    1,450.70x = 1,785,652.04
  5. Step 5: Solve for x
    x = 1,785,652.04/1,450.70
  6. Step 6: Final answer
    x = 1,230.89

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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.