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Finding the Fourth Proportional to 1,240.56, 1,861.38 and 509.94

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Solution

The fourth proportional to 1,240.56, 1,861.38 and 509.94 is: 765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.56 : 1,861.38 = 509.94 : x
  2. Step 2: Convert to fraction form
    1,240.56/1,861.38 = 509.94/x
  3. Step 3: Cross multiply
    1,240.56x = 1,861.38 × 509.94
  4. Step 4: Simplify right side
    1,240.56x = 949,192.12
  5. Step 5: Solve for x
    x = 949,192.12/1,240.56
  6. Step 6: Final answer
    x = 765.13

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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.