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Finding the Fourth Proportional to 1,060.75, 1,588.42 and 1,032.67

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Solution

The fourth proportional to 1,060.75, 1,588.42 and 1,032.67 is: 1,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.75 : 1,588.42 = 1,032.67 : x
  2. Step 2: Convert to fraction form
    1,060.75/1,588.42 = 1,032.67/x
  3. Step 3: Cross multiply
    1,060.75x = 1,588.42 × 1,032.67
  4. Step 4: Simplify right side
    1,060.75x = 1,640,313.68
  5. Step 5: Solve for x
    x = 1,640,313.68/1,060.75
  6. Step 6: Final answer
    x = 1,546.37

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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.