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Finding the Fourth Proportional to 1,091.69, 1,506.73 and 625.94

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Solution

The fourth proportional to 1,091.69, 1,506.73 and 625.94 is: 863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.69 : 1,506.73 = 625.94 : x
  2. Step 2: Convert to fraction form
    1,091.69/1,506.73 = 625.94/x
  3. Step 3: Cross multiply
    1,091.69x = 1,506.73 × 625.94
  4. Step 4: Simplify right side
    1,091.69x = 943,122.58
  5. Step 5: Solve for x
    x = 943,122.58/1,091.69
  6. Step 6: Final answer
    x = 863.91

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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.