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Finding the Fourth Proportional to 1,561.08, 2,339.85 and 520.84

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Solution

The fourth proportional to 1,561.08, 2,339.85 and 520.84 is: 780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.08 : 2,339.85 = 520.84 : x
  2. Step 2: Convert to fraction form
    1,561.08/2,339.85 = 520.84/x
  3. Step 3: Cross multiply
    1,561.08x = 2,339.85 × 520.84
  4. Step 4: Simplify right side
    1,561.08x = 1,218,687.47
  5. Step 5: Solve for x
    x = 1,218,687.47/1,561.08
  6. Step 6: Final answer
    x = 780.67

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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.