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Finding the Fourth Proportional to 1,242.06, 1,861.63 and 510.73

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Solution

The fourth proportional to 1,242.06, 1,861.63 and 510.73 is: 765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.06 : 1,861.63 = 510.73 : x
  2. Step 2: Convert to fraction form
    1,242.06/1,861.63 = 510.73/x
  3. Step 3: Cross multiply
    1,242.06x = 1,861.63 × 510.73
  4. Step 4: Simplify right side
    1,242.06x = 950,790.29
  5. Step 5: Solve for x
    x = 950,790.29/1,242.06
  6. Step 6: Final answer
    x = 765.49

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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.