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Finding the Fourth Proportional to 1,094.24, 1,642.12 and 400.97

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Solution

The fourth proportional to 1,094.24, 1,642.12 and 400.97 is: 601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.24 : 1,642.12 = 400.97 : x
  2. Step 2: Convert to fraction form
    1,094.24/1,642.12 = 400.97/x
  3. Step 3: Cross multiply
    1,094.24x = 1,642.12 × 400.97
  4. Step 4: Simplify right side
    1,094.24x = 658,443.96
  5. Step 5: Solve for x
    x = 658,443.96/1,094.24
  6. Step 6: Final answer
    x = 601.73

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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.