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Finding the Fourth Proportional to 1,094.34, 1,641.51 and 324.78

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Solution

The fourth proportional to 1,094.34, 1,641.51 and 324.78 is: 487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.34 : 1,641.51 = 324.78 : x
  2. Step 2: Convert to fraction form
    1,094.34/1,641.51 = 324.78/x
  3. Step 3: Cross multiply
    1,094.34x = 1,641.51 × 324.78
  4. Step 4: Simplify right side
    1,094.34x = 533,129.62
  5. Step 5: Solve for x
    x = 533,129.62/1,094.34
  6. Step 6: Final answer
    x = 487.17

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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.