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Finding the Fourth Proportional to 944.33, 1,413.72 and 701.93

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Solution

The fourth proportional to 944.33, 1,413.72 and 701.93 is: 1,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.33 : 1,413.72 = 701.93 : x
  2. Step 2: Convert to fraction form
    944.33/1,413.72 = 701.93/x
  3. Step 3: Cross multiply
    944.33x = 1,413.72 × 701.93
  4. Step 4: Simplify right side
    944.33x = 992,336.01
  5. Step 5: Solve for x
    x = 992,336.01/944.33
  6. Step 6: Final answer
    x = 1,050.84

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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.