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Finding the Fourth Proportional to 1,209.45, 1,668.64 and 678.25

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Solution

The fourth proportional to 1,209.45, 1,668.64 and 678.25 is: 935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.45 : 1,668.64 = 678.25 : x
  2. Step 2: Convert to fraction form
    1,209.45/1,668.64 = 678.25/x
  3. Step 3: Cross multiply
    1,209.45x = 1,668.64 × 678.25
  4. Step 4: Simplify right side
    1,209.45x = 1,131,755.08
  5. Step 5: Solve for x
    x = 1,131,755.08/1,209.45
  6. Step 6: Final answer
    x = 935.76

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1.5x scale

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.