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Finding the Fourth Proportional to 788.79, 1,175.69 and 779.07

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Solution

The fourth proportional to 788.79, 1,175.69 and 779.07 is: 1,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.79 : 1,175.69 = 779.07 : x
  2. Step 2: Convert to fraction form
    788.79/1,175.69 = 779.07/x
  3. Step 3: Cross multiply
    788.79x = 1,175.69 × 779.07
  4. Step 4: Simplify right side
    788.79x = 915,940.91
  5. Step 5: Solve for x
    x = 915,940.91/788.79
  6. Step 6: Final answer
    x = 1,161.20

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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.