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Finding the Fourth Proportional to 1,094.43, 1,640.81 and 547.00

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Solution

The fourth proportional to 1,094.43, 1,640.81 and 547.00 is: 820.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.43 : 1,640.81 = 547.00 : x
  2. Step 2: Convert to fraction form
    1,094.43/1,640.81 = 547.00/x
  3. Step 3: Cross multiply
    1,094.43x = 1,640.81 × 547.00
  4. Step 4: Simplify right side
    1,094.43x = 897,526.49
  5. Step 5: Solve for x
    x = 897,526.49/1,094.43
  6. Step 6: Final answer
    x = 820.09

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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.