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Finding the Fourth Proportional to 1,094.50, 1,642.05 and 445.29

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Solution

The fourth proportional to 1,094.50, 1,642.05 and 445.29 is: 668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.50 : 1,642.05 = 445.29 : x
  2. Step 2: Convert to fraction form
    1,094.50/1,642.05 = 445.29/x
  3. Step 3: Cross multiply
    1,094.50x = 1,642.05 × 445.29
  4. Step 4: Simplify right side
    1,094.50x = 731,188.44
  5. Step 5: Solve for x
    x = 731,188.44/1,094.50
  6. Step 6: Final answer
    x = 668.06

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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.