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Finding the Fourth Proportional to 1,208.90, 1,668.29 and 677.80

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Solution

The fourth proportional to 1,208.90, 1,668.29 and 677.80 is: 935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.90 : 1,668.29 = 677.80 : x
  2. Step 2: Convert to fraction form
    1,208.90/1,668.29 = 677.80/x
  3. Step 3: Cross multiply
    1,208.90x = 1,668.29 × 677.80
  4. Step 4: Simplify right side
    1,208.90x = 1,130,766.96
  5. Step 5: Solve for x
    x = 1,130,766.96/1,208.90
  6. Step 6: Final answer
    x = 935.37

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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.