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Finding the Fourth Proportional to 1,091.94, 1,506.82 and 594.55

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Solution

The fourth proportional to 1,091.94, 1,506.82 and 594.55 is: 820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.94 : 1,506.82 = 594.55 : x
  2. Step 2: Convert to fraction form
    1,091.94/1,506.82 = 594.55/x
  3. Step 3: Cross multiply
    1,091.94x = 1,506.82 × 594.55
  4. Step 4: Simplify right side
    1,091.94x = 895,872.87
  5. Step 5: Solve for x
    x = 895,872.87/1,091.94
  6. Step 6: Final answer
    x = 820.44

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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.