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Finding the Fourth Proportional to 773.76, 1,159.38 and 328.67

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Solution

The fourth proportional to 773.76, 1,159.38 and 328.67 is: 492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.76 : 1,159.38 = 328.67 : x
  2. Step 2: Convert to fraction form
    773.76/1,159.38 = 328.67/x
  3. Step 3: Cross multiply
    773.76x = 1,159.38 × 328.67
  4. Step 4: Simplify right side
    773.76x = 381,053.42
  5. Step 5: Solve for x
    x = 381,053.42/773.76
  6. Step 6: Final answer
    x = 492.47

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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.