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Finding the Fourth Proportional to 845.17, 1,166.49 and 779.29

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Solution

The fourth proportional to 845.17, 1,166.49 and 779.29 is: 1,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.17 : 1,166.49 = 779.29 : x
  2. Step 2: Convert to fraction form
    845.17/1,166.49 = 779.29/x
  3. Step 3: Cross multiply
    845.17x = 1,166.49 × 779.29
  4. Step 4: Simplify right side
    845.17x = 909,033.99
  5. Step 5: Solve for x
    x = 909,033.99/845.17
  6. Step 6: Final answer
    x = 1,075.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.