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Finding the Fourth Proportional to 1,288.52, 1,777.44 and 815.54

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Solution

The fourth proportional to 1,288.52, 1,777.44 and 815.54 is: 1,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.52 : 1,777.44 = 815.54 : x
  2. Step 2: Convert to fraction form
    1,288.52/1,777.44 = 815.54/x
  3. Step 3: Cross multiply
    1,288.52x = 1,777.44 × 815.54
  4. Step 4: Simplify right side
    1,288.52x = 1,449,564.53
  5. Step 5: Solve for x
    x = 1,449,564.53/1,288.52
  6. Step 6: Final answer
    x = 1,124.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.