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Finding the Fourth Proportional to 1,199.26, 1,655.00 and 702.19

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Solution

The fourth proportional to 1,199.26, 1,655.00 and 702.19 is: 969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.26 : 1,655.00 = 702.19 : x
  2. Step 2: Convert to fraction form
    1,199.26/1,655.00 = 702.19/x
  3. Step 3: Cross multiply
    1,199.26x = 1,655.00 × 702.19
  4. Step 4: Simplify right side
    1,199.26x = 1,162,120.94
  5. Step 5: Solve for x
    x = 1,162,120.94/1,199.26
  6. Step 6: Final answer
    x = 969.03

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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.