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Finding the Fourth Proportional to 1,299.57, 1,950.45 and 520.12

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Solution

The fourth proportional to 1,299.57, 1,950.45 and 520.12 is: 780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.57 : 1,950.45 = 520.12 : x
  2. Step 2: Convert to fraction form
    1,299.57/1,950.45 = 520.12/x
  3. Step 3: Cross multiply
    1,299.57x = 1,950.45 × 520.12
  4. Step 4: Simplify right side
    1,299.57x = 1,014,458.30
  5. Step 5: Solve for x
    x = 1,014,458.30/1,299.57
  6. Step 6: Final answer
    x = 780.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.