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Finding the Fourth Proportional to 1,145.72, 1,578.30 and 883.64

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Solution

The fourth proportional to 1,145.72, 1,578.30 and 883.64 is: 1,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.72 : 1,578.30 = 883.64 : x
  2. Step 2: Convert to fraction form
    1,145.72/1,578.30 = 883.64/x
  3. Step 3: Cross multiply
    1,145.72x = 1,578.30 × 883.64
  4. Step 4: Simplify right side
    1,145.72x = 1,394,649.01
  5. Step 5: Solve for x
    x = 1,394,649.01/1,145.72
  6. Step 6: Final answer
    x = 1,217.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.