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Finding the Fourth Proportional to 1,181.01, 1,771.54 and 694.41

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Solution

The fourth proportional to 1,181.01, 1,771.54 and 694.41 is: 1,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.01 : 1,771.54 = 694.41 : x
  2. Step 2: Convert to fraction form
    1,181.01/1,771.54 = 694.41/x
  3. Step 3: Cross multiply
    1,181.01x = 1,771.54 × 694.41
  4. Step 4: Simplify right side
    1,181.01x = 1,230,166.71
  5. Step 5: Solve for x
    x = 1,230,166.71/1,181.01
  6. Step 6: Final answer
    x = 1,041.62

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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.