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Finding the Fourth Proportional to 906.06, 1,356.74 and 776.90

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Solution

The fourth proportional to 906.06, 1,356.74 and 776.90 is: 1,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.06 : 1,356.74 = 776.90 : x
  2. Step 2: Convert to fraction form
    906.06/1,356.74 = 776.90/x
  3. Step 3: Cross multiply
    906.06x = 1,356.74 × 776.90
  4. Step 4: Simplify right side
    906.06x = 1,054,051.31
  5. Step 5: Solve for x
    x = 1,054,051.31/906.06
  6. Step 6: Final answer
    x = 1,163.33

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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.