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Finding the Fourth Proportional to 943.71, 1,413.27 and 668.49

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Solution

The fourth proportional to 943.71, 1,413.27 and 668.49 is: 1,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.71 : 1,413.27 = 668.49 : x
  2. Step 2: Convert to fraction form
    943.71/1,413.27 = 668.49/x
  3. Step 3: Cross multiply
    943.71x = 1,413.27 × 668.49
  4. Step 4: Simplify right side
    943.71x = 944,756.86
  5. Step 5: Solve for x
    x = 944,756.86/943.71
  6. Step 6: Final answer
    x = 1,001.11

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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.