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Finding the Fourth Proportional to 1,446.41, 2,168.98 and 666.23

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Solution

The fourth proportional to 1,446.41, 2,168.98 and 666.23 is: 999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.41 : 2,168.98 = 666.23 : x
  2. Step 2: Convert to fraction form
    1,446.41/2,168.98 = 666.23/x
  3. Step 3: Cross multiply
    1,446.41x = 2,168.98 × 666.23
  4. Step 4: Simplify right side
    1,446.41x = 1,445,027.03
  5. Step 5: Solve for x
    x = 1,445,027.03/1,446.41
  6. Step 6: Final answer
    x = 999.04

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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.