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Finding the Fourth Proportional to 1,057.37, 1,586.16 and 1,040.67

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Solution

The fourth proportional to 1,057.37, 1,586.16 and 1,040.67 is: 1,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.37 : 1,586.16 = 1,040.67 : x
  2. Step 2: Convert to fraction form
    1,057.37/1,586.16 = 1,040.67/x
  3. Step 3: Cross multiply
    1,057.37x = 1,586.16 × 1,040.67
  4. Step 4: Simplify right side
    1,057.37x = 1,650,669.13
  5. Step 5: Solve for x
    x = 1,650,669.13/1,057.37
  6. Step 6: Final answer
    x = 1,561.12

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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.