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Finding the Fourth Proportional to 927.89, 1,391.11 and 465.45

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Solution

The fourth proportional to 927.89, 1,391.11 and 465.45 is: 697.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.89 : 1,391.11 = 465.45 : x
  2. Step 2: Convert to fraction form
    927.89/1,391.11 = 465.45/x
  3. Step 3: Cross multiply
    927.89x = 1,391.11 × 465.45
  4. Step 4: Simplify right side
    927.89x = 647,485.77
  5. Step 5: Solve for x
    x = 647,485.77/927.89
  6. Step 6: Final answer
    x = 697.81

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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.