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Finding the Fourth Proportional to 844.59, 1,165.19 and 561.14

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Solution

The fourth proportional to 844.59, 1,165.19 and 561.14 is: 774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.59 : 1,165.19 = 561.14 : x
  2. Step 2: Convert to fraction form
    844.59/1,165.19 = 561.14/x
  3. Step 3: Cross multiply
    844.59x = 1,165.19 × 561.14
  4. Step 4: Simplify right side
    844.59x = 653,837.01
  5. Step 5: Solve for x
    x = 653,837.01/844.59
  6. Step 6: Final answer
    x = 774.14

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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.