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Finding the Fourth Proportional to 774.67, 1,161.64 and 450.13

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Solution

The fourth proportional to 774.67, 1,161.64 and 450.13 is: 674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.67 : 1,161.64 = 450.13 : x
  2. Step 2: Convert to fraction form
    774.67/1,161.64 = 450.13/x
  3. Step 3: Cross multiply
    774.67x = 1,161.64 × 450.13
  4. Step 4: Simplify right side
    774.67x = 522,886.67
  5. Step 5: Solve for x
    x = 522,886.67/774.67
  6. Step 6: Final answer
    x = 674.98

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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.