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Finding the Fourth Proportional to 1,187.42, 1,778.76 and 692.42

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Solution

The fourth proportional to 1,187.42, 1,778.76 and 692.42 is: 1,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.42 : 1,778.76 = 692.42 : x
  2. Step 2: Convert to fraction form
    1,187.42/1,778.76 = 692.42/x
  3. Step 3: Cross multiply
    1,187.42x = 1,778.76 × 692.42
  4. Step 4: Simplify right side
    1,187.42x = 1,231,640.11
  5. Step 5: Solve for x
    x = 1,231,640.11/1,187.42
  6. Step 6: Final answer
    x = 1,037.24

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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.