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Finding the Fourth Proportional to 1,288.23, 1,778.12 and 764.56

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Solution

The fourth proportional to 1,288.23, 1,778.12 and 764.56 is: 1,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.23 : 1,778.12 = 764.56 : x
  2. Step 2: Convert to fraction form
    1,288.23/1,778.12 = 764.56/x
  3. Step 3: Cross multiply
    1,288.23x = 1,778.12 × 764.56
  4. Step 4: Simplify right side
    1,288.23x = 1,359,479.43
  5. Step 5: Solve for x
    x = 1,359,479.43/1,288.23
  6. Step 6: Final answer
    x = 1,055.31

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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.