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Finding the Fourth Proportional to 918.54, 1,378.62 and 774.36

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Solution

The fourth proportional to 918.54, 1,378.62 and 774.36 is: 1,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.54 : 1,378.62 = 774.36 : x
  2. Step 2: Convert to fraction form
    918.54/1,378.62 = 774.36/x
  3. Step 3: Cross multiply
    918.54x = 1,378.62 × 774.36
  4. Step 4: Simplify right side
    918.54x = 1,067,548.18
  5. Step 5: Solve for x
    x = 1,067,548.18/918.54
  6. Step 6: Final answer
    x = 1,162.22

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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.