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Finding the Fourth Proportional to 1,447.11, 1,998 and 923.85

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Solution

The fourth proportional to 1,447.11, 1,998 and 923.85 is: 1,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.11 : 1,998 = 923.85 : x
  2. Step 2: Convert to fraction form
    1,447.11/1,998 = 923.85/x
  3. Step 3: Cross multiply
    1,447.11x = 1,998 × 923.85
  4. Step 4: Simplify right side
    1,447.11x = 1,845,852.30
  5. Step 5: Solve for x
    x = 1,845,852.30/1,447.11
  6. Step 6: Final answer
    x = 1,275.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.