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Finding the Fourth Proportional to 943.65, 1,413.96 and 577.33

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Solution

The fourth proportional to 943.65, 1,413.96 and 577.33 is: 865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.65 : 1,413.96 = 577.33 : x
  2. Step 2: Convert to fraction form
    943.65/1,413.96 = 577.33/x
  3. Step 3: Cross multiply
    943.65x = 1,413.96 × 577.33
  4. Step 4: Simplify right side
    943.65x = 816,321.13
  5. Step 5: Solve for x
    x = 816,321.13/943.65
  6. Step 6: Final answer
    x = 865.06

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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.