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Finding the Fourth Proportional to 1,240.73, 1,861.16 and 500.39

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Solution

The fourth proportional to 1,240.73, 1,861.16 and 500.39 is: 750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.73 : 1,861.16 = 500.39 : x
  2. Step 2: Convert to fraction form
    1,240.73/1,861.16 = 500.39/x
  3. Step 3: Cross multiply
    1,240.73x = 1,861.16 × 500.39
  4. Step 4: Simplify right side
    1,240.73x = 931,314.31
  5. Step 5: Solve for x
    x = 931,314.31/1,240.73
  6. Step 6: Final answer
    x = 750.62

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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.