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Finding the Fourth Proportional to 1,185.69, 1,777.51 and 665.26

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Solution

The fourth proportional to 1,185.69, 1,777.51 and 665.26 is: 997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.69 : 1,777.51 = 665.26 : x
  2. Step 2: Convert to fraction form
    1,185.69/1,777.51 = 665.26/x
  3. Step 3: Cross multiply
    1,185.69x = 1,777.51 × 665.26
  4. Step 4: Simplify right side
    1,185.69x = 1,182,506.30
  5. Step 5: Solve for x
    x = 1,182,506.30/1,185.69
  6. Step 6: Final answer
    x = 997.31

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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.