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Finding the Fourth Proportional to 1,297.89, 1,946.79 and 567.41

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Solution

The fourth proportional to 1,297.89, 1,946.79 and 567.41 is: 851.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.89 : 1,946.79 = 567.41 : x
  2. Step 2: Convert to fraction form
    1,297.89/1,946.79 = 567.41/x
  3. Step 3: Cross multiply
    1,297.89x = 1,946.79 × 567.41
  4. Step 4: Simplify right side
    1,297.89x = 1,104,618.38
  5. Step 5: Solve for x
    x = 1,104,618.38/1,297.89
  6. Step 6: Final answer
    x = 851.09

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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.