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Finding the Fourth Proportional to 1,362.83, 2,042.30 and 776.63

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Solution

The fourth proportional to 1,362.83, 2,042.30 and 776.63 is: 1,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.83 : 2,042.30 = 776.63 : x
  2. Step 2: Convert to fraction form
    1,362.83/2,042.30 = 776.63/x
  3. Step 3: Cross multiply
    1,362.83x = 2,042.30 × 776.63
  4. Step 4: Simplify right side
    1,362.83x = 1,586,097.35
  5. Step 5: Solve for x
    x = 1,586,097.35/1,362.83
  6. Step 6: Final answer
    x = 1,163.82

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