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Finding the Fourth Proportional to 1,094.44, 1,640.62 and 400.75

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Solution

The fourth proportional to 1,094.44, 1,640.62 and 400.75 is: 600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.44 : 1,640.62 = 400.75 : x
  2. Step 2: Convert to fraction form
    1,094.44/1,640.62 = 400.75/x
  3. Step 3: Cross multiply
    1,094.44x = 1,640.62 × 400.75
  4. Step 4: Simplify right side
    1,094.44x = 657,478.47
  5. Step 5: Solve for x
    x = 657,478.47/1,094.44
  6. Step 6: Final answer
    x = 600.74

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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.