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Finding the Fourth Proportional to 1,091.08, 1,636.77 and 506.65

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Solution

The fourth proportional to 1,091.08, 1,636.77 and 506.65 is: 760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.08 : 1,636.77 = 506.65 : x
  2. Step 2: Convert to fraction form
    1,091.08/1,636.77 = 506.65/x
  3. Step 3: Cross multiply
    1,091.08x = 1,636.77 × 506.65
  4. Step 4: Simplify right side
    1,091.08x = 829,269.52
  5. Step 5: Solve for x
    x = 829,269.52/1,091.08
  6. Step 6: Final answer
    x = 760.04

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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.