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Finding the Fourth Proportional to 943.70, 1,413.93 and 654.80

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Solution

The fourth proportional to 943.70, 1,413.93 and 654.80 is: 981.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.70 : 1,413.93 = 654.80 : x
  2. Step 2: Convert to fraction form
    943.70/1,413.93 = 654.80/x
  3. Step 3: Cross multiply
    943.70x = 1,413.93 × 654.80
  4. Step 4: Simplify right side
    943.70x = 925,841.36
  5. Step 5: Solve for x
    x = 925,841.36/943.70
  6. Step 6: Final answer
    x = 981.08

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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.