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Finding the Fourth Proportional to 1,705.57, 2,559.57 and 732.37

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Solution

The fourth proportional to 1,705.57, 2,559.57 and 732.37 is: 1,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.57 : 2,559.57 = 732.37 : x
  2. Step 2: Convert to fraction form
    1,705.57/2,559.57 = 732.37/x
  3. Step 3: Cross multiply
    1,705.57x = 2,559.57 × 732.37
  4. Step 4: Simplify right side
    1,705.57x = 1,874,552.28
  5. Step 5: Solve for x
    x = 1,874,552.28/1,705.57
  6. Step 6: Final answer
    x = 1,099.08

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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.