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Finding the Fourth Proportional to 1,405.26, 2,103.32 and 746.20

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Solution

The fourth proportional to 1,405.26, 2,103.32 and 746.20 is: 1,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.26 : 2,103.32 = 746.20 : x
  2. Step 2: Convert to fraction form
    1,405.26/2,103.32 = 746.20/x
  3. Step 3: Cross multiply
    1,405.26x = 2,103.32 × 746.20
  4. Step 4: Simplify right side
    1,405.26x = 1,569,494.72
  5. Step 5: Solve for x
    x = 1,569,494.72/1,405.26
  6. Step 6: Final answer
    x = 1,116.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.