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Finding the Fourth Proportional to 1,299.98, 1,950.26 and 509.49

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Solution

The fourth proportional to 1,299.98, 1,950.26 and 509.49 is: 764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.98 : 1,950.26 = 509.49 : x
  2. Step 2: Convert to fraction form
    1,299.98/1,950.26 = 509.49/x
  3. Step 3: Cross multiply
    1,299.98x = 1,950.26 × 509.49
  4. Step 4: Simplify right side
    1,299.98x = 993,635.42
  5. Step 5: Solve for x
    x = 993,635.42/1,299.98
  6. Step 6: Final answer
    x = 764.35

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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.