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Finding the Fourth Proportional to 943.08, 1,413.60 and 578.11

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Solution

The fourth proportional to 943.08, 1,413.60 and 578.11 is: 866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.08 : 1,413.60 = 578.11 : x
  2. Step 2: Convert to fraction form
    943.08/1,413.60 = 578.11/x
  3. Step 3: Cross multiply
    943.08x = 1,413.60 × 578.11
  4. Step 4: Simplify right side
    943.08x = 817,216.30
  5. Step 5: Solve for x
    x = 817,216.30/943.08
  6. Step 6: Final answer
    x = 866.54

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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.