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Finding the Fourth Proportional to 1,040.99, 1,561.06 and 520.79

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Solution

The fourth proportional to 1,040.99, 1,561.06 and 520.79 is: 780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.99 : 1,561.06 = 520.79 : x
  2. Step 2: Convert to fraction form
    1,040.99/1,561.06 = 520.79/x
  3. Step 3: Cross multiply
    1,040.99x = 1,561.06 × 520.79
  4. Step 4: Simplify right side
    1,040.99x = 812,984.44
  5. Step 5: Solve for x
    x = 812,984.44/1,040.99
  6. Step 6: Final answer
    x = 780.97

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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.