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Finding the Fourth Proportional to 1,091.57, 1,506.33 and 594.23

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Solution

The fourth proportional to 1,091.57, 1,506.33 and 594.23 is: 820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.57 : 1,506.33 = 594.23 : x
  2. Step 2: Convert to fraction form
    1,091.57/1,506.33 = 594.23/x
  3. Step 3: Cross multiply
    1,091.57x = 1,506.33 × 594.23
  4. Step 4: Simplify right side
    1,091.57x = 895,098.94
  5. Step 5: Solve for x
    x = 895,098.94/1,091.57
  6. Step 6: Final answer
    x = 820.01

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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.