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Finding the Fourth Proportional to 764.74, 1,147.06 and 440.74

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Solution

The fourth proportional to 764.74, 1,147.06 and 440.74 is: 661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.74 : 1,147.06 = 440.74 : x
  2. Step 2: Convert to fraction form
    764.74/1,147.06 = 440.74/x
  3. Step 3: Cross multiply
    764.74x = 1,147.06 × 440.74
  4. Step 4: Simplify right side
    764.74x = 505,557.21
  5. Step 5: Solve for x
    x = 505,557.21/764.74
  6. Step 6: Final answer
    x = 661.08

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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.