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Finding the Fourth Proportional to 1,226.15, 1,835.98 and 647.27

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Solution

The fourth proportional to 1,226.15, 1,835.98 and 647.27 is: 969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.15 : 1,835.98 = 647.27 : x
  2. Step 2: Convert to fraction form
    1,226.15/1,835.98 = 647.27/x
  3. Step 3: Cross multiply
    1,226.15x = 1,835.98 × 647.27
  4. Step 4: Simplify right side
    1,226.15x = 1,188,374.77
  5. Step 5: Solve for x
    x = 1,188,374.77/1,226.15
  6. Step 6: Final answer
    x = 969.19

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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.