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Finding the Fourth Proportional to 1,776.65, 2,664.97 and 736.46

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Solution

The fourth proportional to 1,776.65, 2,664.97 and 736.46 is: 1,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.65 : 2,664.97 = 736.46 : x
  2. Step 2: Convert to fraction form
    1,776.65/2,664.97 = 736.46/x
  3. Step 3: Cross multiply
    1,776.65x = 2,664.97 × 736.46
  4. Step 4: Simplify right side
    1,776.65x = 1,962,638.63
  5. Step 5: Solve for x
    x = 1,962,638.63/1,776.65
  6. Step 6: Final answer
    x = 1,104.69

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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.