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Finding the Fourth Proportional to 1,218.15, 1,827.75 and 640.89

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Solution

The fourth proportional to 1,218.15, 1,827.75 and 640.89 is: 961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.15 : 1,827.75 = 640.89 : x
  2. Step 2: Convert to fraction form
    1,218.15/1,827.75 = 640.89/x
  3. Step 3: Cross multiply
    1,218.15x = 1,827.75 × 640.89
  4. Step 4: Simplify right side
    1,218.15x = 1,171,386.70
  5. Step 5: Solve for x
    x = 1,171,386.70/1,218.15
  6. Step 6: Final answer
    x = 961.61

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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.