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Finding the Fourth Proportional to 1,094.44, 1,641.52 and 324.88

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Solution

The fourth proportional to 1,094.44, 1,641.52 and 324.88 is: 487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.44 : 1,641.52 = 324.88 : x
  2. Step 2: Convert to fraction form
    1,094.44/1,641.52 = 324.88/x
  3. Step 3: Cross multiply
    1,094.44x = 1,641.52 × 324.88
  4. Step 4: Simplify right side
    1,094.44x = 533,297.02
  5. Step 5: Solve for x
    x = 533,297.02/1,094.44
  6. Step 6: Final answer
    x = 487.28

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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.