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Finding the Fourth Proportional to 764.84, 1,147.79 and 302.63

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Solution

The fourth proportional to 764.84, 1,147.79 and 302.63 is: 454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.84 : 1,147.79 = 302.63 : x
  2. Step 2: Convert to fraction form
    764.84/1,147.79 = 302.63/x
  3. Step 3: Cross multiply
    764.84x = 1,147.79 × 302.63
  4. Step 4: Simplify right side
    764.84x = 347,350.71
  5. Step 5: Solve for x
    x = 347,350.71/764.84
  6. Step 6: Final answer
    x = 454.15

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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.