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Finding the Fourth Proportional to 1,008.56, 1,513.45 and 431.44

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Solution

The fourth proportional to 1,008.56, 1,513.45 and 431.44 is: 647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.56 : 1,513.45 = 431.44 : x
  2. Step 2: Convert to fraction form
    1,008.56/1,513.45 = 431.44/x
  3. Step 3: Cross multiply
    1,008.56x = 1,513.45 × 431.44
  4. Step 4: Simplify right side
    1,008.56x = 652,959.62
  5. Step 5: Solve for x
    x = 652,959.62/1,008.56
  6. Step 6: Final answer
    x = 647.42

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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.