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Finding the Fourth Proportional to 779.50, 1,161.14 and 744.58

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Solution

The fourth proportional to 779.50, 1,161.14 and 744.58 is: 1,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.50 : 1,161.14 = 744.58 : x
  2. Step 2: Convert to fraction form
    779.50/1,161.14 = 744.58/x
  3. Step 3: Cross multiply
    779.50x = 1,161.14 × 744.58
  4. Step 4: Simplify right side
    779.50x = 864,561.62
  5. Step 5: Solve for x
    x = 864,561.62/779.50
  6. Step 6: Final answer
    x = 1,109.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.