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Finding the Fourth Proportional to 1,114.89, 1,669.23 and 725.34

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Solution

The fourth proportional to 1,114.89, 1,669.23 and 725.34 is: 1,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.89 : 1,669.23 = 725.34 : x
  2. Step 2: Convert to fraction form
    1,114.89/1,669.23 = 725.34/x
  3. Step 3: Cross multiply
    1,114.89x = 1,669.23 × 725.34
  4. Step 4: Simplify right side
    1,114.89x = 1,210,759.29
  5. Step 5: Solve for x
    x = 1,210,759.29/1,114.89
  6. Step 6: Final answer
    x = 1,085.99

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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.