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Finding the Fourth Proportional to 1,180.44, 1,769.76 and 692.82

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Solution

The fourth proportional to 1,180.44, 1,769.76 and 692.82 is: 1,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.44 : 1,769.76 = 692.82 : x
  2. Step 2: Convert to fraction form
    1,180.44/1,769.76 = 692.82/x
  3. Step 3: Cross multiply
    1,180.44x = 1,769.76 × 692.82
  4. Step 4: Simplify right side
    1,180.44x = 1,226,125.12
  5. Step 5: Solve for x
    x = 1,226,125.12/1,180.44
  6. Step 6: Final answer
    x = 1,038.70

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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.