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Finding the Fourth Proportional to 1,214.89, 1,822.87 and 637.63

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Solution

The fourth proportional to 1,214.89, 1,822.87 and 637.63 is: 956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.89 : 1,822.87 = 637.63 : x
  2. Step 2: Convert to fraction form
    1,214.89/1,822.87 = 637.63/x
  3. Step 3: Cross multiply
    1,214.89x = 1,822.87 × 637.63
  4. Step 4: Simplify right side
    1,214.89x = 1,162,316.60
  5. Step 5: Solve for x
    x = 1,162,316.60/1,214.89
  6. Step 6: Final answer
    x = 956.73

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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.