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Finding the Fourth Proportional to 1,085.67, 1,625.54 and 623.03

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Solution

The fourth proportional to 1,085.67, 1,625.54 and 623.03 is: 932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.67 : 1,625.54 = 623.03 : x
  2. Step 2: Convert to fraction form
    1,085.67/1,625.54 = 623.03/x
  3. Step 3: Cross multiply
    1,085.67x = 1,625.54 × 623.03
  4. Step 4: Simplify right side
    1,085.67x = 1,012,748.94
  5. Step 5: Solve for x
    x = 1,012,748.94/1,085.67
  6. Step 6: Final answer
    x = 932.83

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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.