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Finding the Fourth Proportional to 1,776.65, 2,664.97 and 622.13

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Solution

The fourth proportional to 1,776.65, 2,664.97 and 622.13 is: 933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.65 : 2,664.97 = 622.13 : x
  2. Step 2: Convert to fraction form
    1,776.65/2,664.97 = 622.13/x
  3. Step 3: Cross multiply
    1,776.65x = 2,664.97 × 622.13
  4. Step 4: Simplify right side
    1,776.65x = 1,657,942.91
  5. Step 5: Solve for x
    x = 1,657,942.91/1,776.65
  6. Step 6: Final answer
    x = 933.19

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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.