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Finding the Fourth Proportional to 764.91, 1,148.99 and 491.67

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Solution

The fourth proportional to 764.91, 1,148.99 and 491.67 is: 738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.91 : 1,148.99 = 491.67 : x
  2. Step 2: Convert to fraction form
    764.91/1,148.99 = 491.67/x
  3. Step 3: Cross multiply
    764.91x = 1,148.99 × 491.67
  4. Step 4: Simplify right side
    764.91x = 564,921.45
  5. Step 5: Solve for x
    x = 564,921.45/764.91
  6. Step 6: Final answer
    x = 738.55

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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.