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Finding the Fourth Proportional to 1,091.08, 1,504.89 and 692.86

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Solution

The fourth proportional to 1,091.08, 1,504.89 and 692.86 is: 955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.08 : 1,504.89 = 692.86 : x
  2. Step 2: Convert to fraction form
    1,091.08/1,504.89 = 692.86/x
  3. Step 3: Cross multiply
    1,091.08x = 1,504.89 × 692.86
  4. Step 4: Simplify right side
    1,091.08x = 1,042,678.09
  5. Step 5: Solve for x
    x = 1,042,678.09/1,091.08
  6. Step 6: Final answer
    x = 955.64

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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.