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Finding the Fourth Proportional to 1,094.34, 1,640.73 and 444.54

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Solution

The fourth proportional to 1,094.34, 1,640.73 and 444.54 is: 666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.34 : 1,640.73 = 444.54 : x
  2. Step 2: Convert to fraction form
    1,094.34/1,640.73 = 444.54/x
  3. Step 3: Cross multiply
    1,094.34x = 1,640.73 × 444.54
  4. Step 4: Simplify right side
    1,094.34x = 729,370.11
  5. Step 5: Solve for x
    x = 729,370.11/1,094.34
  6. Step 6: Final answer
    x = 666.49

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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.