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Finding the Fourth Proportional to 764.44, 1,145.53 and 677.95

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Solution

The fourth proportional to 764.44, 1,145.53 and 677.95 is: 1,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.44 : 1,145.53 = 677.95 : x
  2. Step 2: Convert to fraction form
    764.44/1,145.53 = 677.95/x
  3. Step 3: Cross multiply
    764.44x = 1,145.53 × 677.95
  4. Step 4: Simplify right side
    764.44x = 776,612.06
  5. Step 5: Solve for x
    x = 776,612.06/764.44
  6. Step 6: Final answer
    x = 1,015.92

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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.