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Finding the Fourth Proportional to 767.58, 1,151.36 and 605.37

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Solution

The fourth proportional to 767.58, 1,151.36 and 605.37 is: 908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.58 : 1,151.36 = 605.37 : x
  2. Step 2: Convert to fraction form
    767.58/1,151.36 = 605.37/x
  3. Step 3: Cross multiply
    767.58x = 1,151.36 × 605.37
  4. Step 4: Simplify right side
    767.58x = 697,005.77
  5. Step 5: Solve for x
    x = 697,005.77/767.58
  6. Step 6: Final answer
    x = 908.06

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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.