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Finding the Fourth Proportional to 1,094.61, 1,641.78 and 445.14

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Solution

The fourth proportional to 1,094.61, 1,641.78 and 445.14 is: 667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.61 : 1,641.78 = 445.14 : x
  2. Step 2: Convert to fraction form
    1,094.61/1,641.78 = 445.14/x
  3. Step 3: Cross multiply
    1,094.61x = 1,641.78 × 445.14
  4. Step 4: Simplify right side
    1,094.61x = 730,821.95
  5. Step 5: Solve for x
    x = 730,821.95/1,094.61
  6. Step 6: Final answer
    x = 667.66

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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.