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Finding the Fourth Proportional to 1,189.83, 1,642.10 and 665.87

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Solution

The fourth proportional to 1,189.83, 1,642.10 and 665.87 is: 918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.83 : 1,642.10 = 665.87 : x
  2. Step 2: Convert to fraction form
    1,189.83/1,642.10 = 665.87/x
  3. Step 3: Cross multiply
    1,189.83x = 1,642.10 × 665.87
  4. Step 4: Simplify right side
    1,189.83x = 1,093,413.59
  5. Step 5: Solve for x
    x = 1,093,413.59/1,189.83
  6. Step 6: Final answer
    x = 918.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.