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Finding the Fourth Proportional to 1,288.13, 1,777.64 and 764.28

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Solution

The fourth proportional to 1,288.13, 1,777.64 and 764.28 is: 1,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.13 : 1,777.64 = 764.28 : x
  2. Step 2: Convert to fraction form
    1,288.13/1,777.64 = 764.28/x
  3. Step 3: Cross multiply
    1,288.13x = 1,777.64 × 764.28
  4. Step 4: Simplify right side
    1,288.13x = 1,358,610.88
  5. Step 5: Solve for x
    x = 1,358,610.88/1,288.13
  6. Step 6: Final answer
    x = 1,054.72

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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.