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Finding the Fourth Proportional to 1,209.12, 1,668.44 and 678.02

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Solution

The fourth proportional to 1,209.12, 1,668.44 and 678.02 is: 935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.12 : 1,668.44 = 678.02 : x
  2. Step 2: Convert to fraction form
    1,209.12/1,668.44 = 678.02/x
  3. Step 3: Cross multiply
    1,209.12x = 1,668.44 × 678.02
  4. Step 4: Simplify right side
    1,209.12x = 1,131,235.69
  5. Step 5: Solve for x
    x = 1,131,235.69/1,209.12
  6. Step 6: Final answer
    x = 935.59

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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.