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Finding the Fourth Proportional to 1,253.73, 1,880.77 and 523.14

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Solution

The fourth proportional to 1,253.73, 1,880.77 and 523.14 is: 784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.73 : 1,880.77 = 523.14 : x
  2. Step 2: Convert to fraction form
    1,253.73/1,880.77 = 523.14/x
  3. Step 3: Cross multiply
    1,253.73x = 1,880.77 × 523.14
  4. Step 4: Simplify right side
    1,253.73x = 983,906.67
  5. Step 5: Solve for x
    x = 983,906.67/1,253.73
  6. Step 6: Final answer
    x = 784.78

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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.