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Finding the Fourth Proportional to 1,222.22, 1,686.03 and 774.65

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Solution

The fourth proportional to 1,222.22, 1,686.03 and 774.65 is: 1,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.22 : 1,686.03 = 774.65 : x
  2. Step 2: Convert to fraction form
    1,222.22/1,686.03 = 774.65/x
  3. Step 3: Cross multiply
    1,222.22x = 1,686.03 × 774.65
  4. Step 4: Simplify right side
    1,222.22x = 1,306,083.14
  5. Step 5: Solve for x
    x = 1,306,083.14/1,222.22
  6. Step 6: Final answer
    x = 1,068.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.