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Finding the Fourth Proportional to 1,204.77, 1,807.79 and 656.85

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Solution

The fourth proportional to 1,204.77, 1,807.79 and 656.85 is: 985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.77 : 1,807.79 = 656.85 : x
  2. Step 2: Convert to fraction form
    1,204.77/1,807.79 = 656.85/x
  3. Step 3: Cross multiply
    1,204.77x = 1,807.79 × 656.85
  4. Step 4: Simplify right side
    1,204.77x = 1,187,443.58
  5. Step 5: Solve for x
    x = 1,187,443.58/1,204.77
  6. Step 6: Final answer
    x = 985.62

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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.