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Finding the Fourth Proportional to 1,085.30, 1,624.99 and 1,014.22

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Solution

The fourth proportional to 1,085.30, 1,624.99 and 1,014.22 is: 1,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.30 : 1,624.99 = 1,014.22 : x
  2. Step 2: Convert to fraction form
    1,085.30/1,624.99 = 1,014.22/x
  3. Step 3: Cross multiply
    1,085.30x = 1,624.99 × 1,014.22
  4. Step 4: Simplify right side
    1,085.30x = 1,648,095.90
  5. Step 5: Solve for x
    x = 1,648,095.90/1,085.30
  6. Step 6: Final answer
    x = 1,518.56

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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.