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Finding the Fourth Proportional to 779.07, 1,075.22 and 668.91

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Solution

The fourth proportional to 779.07, 1,075.22 and 668.91 is: 923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.07 : 1,075.22 = 668.91 : x
  2. Step 2: Convert to fraction form
    779.07/1,075.22 = 668.91/x
  3. Step 3: Cross multiply
    779.07x = 1,075.22 × 668.91
  4. Step 4: Simplify right side
    779.07x = 719,222.07
  5. Step 5: Solve for x
    x = 719,222.07/779.07
  6. Step 6: Final answer
    x = 923.18

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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.