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Finding the Fourth Proportional to 774.53, 1,162.07 and 330.02

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Solution

The fourth proportional to 774.53, 1,162.07 and 330.02 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.53 : 1,162.07 = 330.02 : x
  2. Step 2: Convert to fraction form
    774.53/1,162.07 = 330.02/x
  3. Step 3: Cross multiply
    774.53x = 1,162.07 × 330.02
  4. Step 4: Simplify right side
    774.53x = 383,498.88
  5. Step 5: Solve for x
    x = 383,498.88/774.53
  6. Step 6: Final answer
    x = 495.14

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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.