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Finding the Fourth Proportional to 1,174.33, 1,619.45 and 702.14

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Solution

The fourth proportional to 1,174.33, 1,619.45 and 702.14 is: 968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.33 : 1,619.45 = 702.14 : x
  2. Step 2: Convert to fraction form
    1,174.33/1,619.45 = 702.14/x
  3. Step 3: Cross multiply
    1,174.33x = 1,619.45 × 702.14
  4. Step 4: Simplify right side
    1,174.33x = 1,137,087.98
  5. Step 5: Solve for x
    x = 1,137,087.98/1,174.33
  6. Step 6: Final answer
    x = 968.29

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