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Finding the Fourth Proportional to 1,024.23, 1,403.60 and 925.82

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Solution

The fourth proportional to 1,024.23, 1,403.60 and 925.82 is: 1,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.23 : 1,403.60 = 925.82 : x
  2. Step 2: Convert to fraction form
    1,024.23/1,403.60 = 925.82/x
  3. Step 3: Cross multiply
    1,024.23x = 1,403.60 × 925.82
  4. Step 4: Simplify right side
    1,024.23x = 1,299,469.30
  5. Step 5: Solve for x
    x = 1,299,469.30/1,024.23
  6. Step 6: Final answer
    x = 1,268.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.