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Finding the Fourth Proportional to 1,248.73, 1,873.32 and 518.37

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Solution

The fourth proportional to 1,248.73, 1,873.32 and 518.37 is: 777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.73 : 1,873.32 = 518.37 : x
  2. Step 2: Convert to fraction form
    1,248.73/1,873.32 = 518.37/x
  3. Step 3: Cross multiply
    1,248.73x = 1,873.32 × 518.37
  4. Step 4: Simplify right side
    1,248.73x = 971,072.89
  5. Step 5: Solve for x
    x = 971,072.89/1,248.73
  6. Step 6: Final answer
    x = 777.65

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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.