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Finding the Fourth Proportional to 1,199.55, 1,655.36 and 702.21

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Solution

The fourth proportional to 1,199.55, 1,655.36 and 702.21 is: 969.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.55 : 1,655.36 = 702.21 : x
  2. Step 2: Convert to fraction form
    1,199.55/1,655.36 = 702.21/x
  3. Step 3: Cross multiply
    1,199.55x = 1,655.36 × 702.21
  4. Step 4: Simplify right side
    1,199.55x = 1,162,406.83
  5. Step 5: Solve for x
    x = 1,162,406.83/1,199.55
  6. Step 6: Final answer
    x = 969.04

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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.