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Finding the Fourth Proportional to 1,369.17, 1,889.24 and 779.72

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Solution

The fourth proportional to 1,369.17, 1,889.24 and 779.72 is: 1,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.17 : 1,889.24 = 779.72 : x
  2. Step 2: Convert to fraction form
    1,369.17/1,889.24 = 779.72/x
  3. Step 3: Cross multiply
    1,369.17x = 1,889.24 × 779.72
  4. Step 4: Simplify right side
    1,369.17x = 1,473,064.87
  5. Step 5: Solve for x
    x = 1,473,064.87/1,369.17
  6. Step 6: Final answer
    x = 1,075.88

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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.