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Finding the Fourth Proportional to 1,209.67, 1,669.33 and 678.55

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Solution

The fourth proportional to 1,209.67, 1,669.33 and 678.55 is: 936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.67 : 1,669.33 = 678.55 : x
  2. Step 2: Convert to fraction form
    1,209.67/1,669.33 = 678.55/x
  3. Step 3: Cross multiply
    1,209.67x = 1,669.33 × 678.55
  4. Step 4: Simplify right side
    1,209.67x = 1,132,724.65
  5. Step 5: Solve for x
    x = 1,132,724.65/1,209.67
  6. Step 6: Final answer
    x = 936.39

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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.