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Finding the Fourth Proportional to 893.74, 1,339.41 and 777.64

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Solution

The fourth proportional to 893.74, 1,339.41 and 777.64 is: 1,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.74 : 1,339.41 = 777.64 : x
  2. Step 2: Convert to fraction form
    893.74/1,339.41 = 777.64/x
  3. Step 3: Cross multiply
    893.74x = 1,339.41 × 777.64
  4. Step 4: Simplify right side
    893.74x = 1,041,578.79
  5. Step 5: Solve for x
    x = 1,041,578.79/893.74
  6. Step 6: Final answer
    x = 1,165.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.