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Finding the Fourth Proportional to 999.67, 1,499.43 and 942.56

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Solution

The fourth proportional to 999.67, 1,499.43 and 942.56 is: 1,413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.67 : 1,499.43 = 942.56 : x
  2. Step 2: Convert to fraction form
    999.67/1,499.43 = 942.56/x
  3. Step 3: Cross multiply
    999.67x = 1,499.43 × 942.56
  4. Step 4: Simplify right side
    999.67x = 1,413,302.74
  5. Step 5: Solve for x
    x = 1,413,302.74/999.67
  6. Step 6: Final answer
    x = 1,413.77

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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.