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Finding the Fourth Proportional to 764.81, 1,147.29 and 296.45

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Solution

The fourth proportional to 764.81, 1,147.29 and 296.45 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.81 : 1,147.29 = 296.45 : x
  2. Step 2: Convert to fraction form
    764.81/1,147.29 = 296.45/x
  3. Step 3: Cross multiply
    764.81x = 1,147.29 × 296.45
  4. Step 4: Simplify right side
    764.81x = 340,114.12
  5. Step 5: Solve for x
    x = 340,114.12/764.81
  6. Step 6: Final answer
    x = 444.70

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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.