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Finding the Fourth Proportional to 944.38, 1,413.69 and 700.30

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Solution

The fourth proportional to 944.38, 1,413.69 and 700.30 is: 1,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.38 : 1,413.69 = 700.30 : x
  2. Step 2: Convert to fraction form
    944.38/1,413.69 = 700.30/x
  3. Step 3: Cross multiply
    944.38x = 1,413.69 × 700.30
  4. Step 4: Simplify right side
    944.38x = 990,007.11
  5. Step 5: Solve for x
    x = 990,007.11/944.38
  6. Step 6: Final answer
    x = 1,048.31

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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.