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Finding the Fourth Proportional to 1,261.72, 1,890.99 and 896.59

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Solution

The fourth proportional to 1,261.72, 1,890.99 and 896.59 is: 1,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.72 : 1,890.99 = 896.59 : x
  2. Step 2: Convert to fraction form
    1,261.72/1,890.99 = 896.59/x
  3. Step 3: Cross multiply
    1,261.72x = 1,890.99 × 896.59
  4. Step 4: Simplify right side
    1,261.72x = 1,695,442.72
  5. Step 5: Solve for x
    x = 1,695,442.72/1,261.72
  6. Step 6: Final answer
    x = 1,343.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.