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Finding the Fourth Proportional to 1,189.20, 1,641.09 and 665.23

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Solution

The fourth proportional to 1,189.20, 1,641.09 and 665.23 is: 918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.20 : 1,641.09 = 665.23 : x
  2. Step 2: Convert to fraction form
    1,189.20/1,641.09 = 665.23/x
  3. Step 3: Cross multiply
    1,189.20x = 1,641.09 × 665.23
  4. Step 4: Simplify right side
    1,189.20x = 1,091,702.30
  5. Step 5: Solve for x
    x = 1,091,702.30/1,189.20
  6. Step 6: Final answer
    x = 918.01

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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.