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Finding the Fourth Proportional to 774.45, 1,167.03 and 737.37

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Solution

The fourth proportional to 774.45, 1,167.03 and 737.37 is: 1,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.45 : 1,167.03 = 737.37 : x
  2. Step 2: Convert to fraction form
    774.45/1,167.03 = 737.37/x
  3. Step 3: Cross multiply
    774.45x = 1,167.03 × 737.37
  4. Step 4: Simplify right side
    774.45x = 860,532.91
  5. Step 5: Solve for x
    x = 860,532.91/774.45
  6. Step 6: Final answer
    x = 1,111.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.