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Finding the Fourth Proportional to 1,288, 1,777.45 and 764.48

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Solution

The fourth proportional to 1,288, 1,777.45 and 764.48 is: 1,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288 : 1,777.45 = 764.48 : x
  2. Step 2: Convert to fraction form
    1,288/1,777.45 = 764.48/x
  3. Step 3: Cross multiply
    1,288x = 1,777.45 × 764.48
  4. Step 4: Simplify right side
    1,288x = 1,358,824.98
  5. Step 5: Solve for x
    x = 1,358,824.98/1,288
  6. Step 6: Final answer
    x = 1,054.99

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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.