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Finding the Fourth Proportional to 1,085.22, 1,625.67 and 948.42

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Solution

The fourth proportional to 1,085.22, 1,625.67 and 948.42 is: 1,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.22 : 1,625.67 = 948.42 : x
  2. Step 2: Convert to fraction form
    1,085.22/1,625.67 = 948.42/x
  3. Step 3: Cross multiply
    1,085.22x = 1,625.67 × 948.42
  4. Step 4: Simplify right side
    1,085.22x = 1,541,817.94
  5. Step 5: Solve for x
    x = 1,541,817.94/1,085.22
  6. Step 6: Final answer
    x = 1,420.74

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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.