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Finding the Fourth Proportional to 1,051.41, 1,450.89 and 579.31

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Solution

The fourth proportional to 1,051.41, 1,450.89 and 579.31 is: 799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.41 : 1,450.89 = 579.31 : x
  2. Step 2: Convert to fraction form
    1,051.41/1,450.89 = 579.31/x
  3. Step 3: Cross multiply
    1,051.41x = 1,450.89 × 579.31
  4. Step 4: Simplify right side
    1,051.41x = 840,511.46
  5. Step 5: Solve for x
    x = 840,511.46/1,051.41
  6. Step 6: Final answer
    x = 799.41

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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.