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Finding the Fourth Proportional to 1,094.24, 1,641.42 and 324.76

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Solution

The fourth proportional to 1,094.24, 1,641.42 and 324.76 is: 487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.24 : 1,641.42 = 324.76 : x
  2. Step 2: Convert to fraction form
    1,094.24/1,641.42 = 324.76/x
  3. Step 3: Cross multiply
    1,094.24x = 1,641.42 × 324.76
  4. Step 4: Simplify right side
    1,094.24x = 533,067.56
  5. Step 5: Solve for x
    x = 533,067.56/1,094.24
  6. Step 6: Final answer
    x = 487.16

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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.