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Finding the Fourth Proportional to 1,189.20, 1,782.42 and 702.66

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Solution

The fourth proportional to 1,189.20, 1,782.42 and 702.66 is: 1,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.20 : 1,782.42 = 702.66 : x
  2. Step 2: Convert to fraction form
    1,189.20/1,782.42 = 702.66/x
  3. Step 3: Cross multiply
    1,189.20x = 1,782.42 × 702.66
  4. Step 4: Simplify right side
    1,189.20x = 1,252,435.24
  5. Step 5: Solve for x
    x = 1,252,435.24/1,189.20
  6. Step 6: Final answer
    x = 1,053.17

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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.