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Finding the Fourth Proportional to 1,246.22, 1,869.36 and 596.24

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Solution

The fourth proportional to 1,246.22, 1,869.36 and 596.24 is: 894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.22 : 1,869.36 = 596.24 : x
  2. Step 2: Convert to fraction form
    1,246.22/1,869.36 = 596.24/x
  3. Step 3: Cross multiply
    1,246.22x = 1,869.36 × 596.24
  4. Step 4: Simplify right side
    1,246.22x = 1,114,587.21
  5. Step 5: Solve for x
    x = 1,114,587.21/1,246.22
  6. Step 6: Final answer
    x = 894.37

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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.