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Finding the Fourth Proportional to 1,209.40, 1,668.76 and 712.14

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Solution

The fourth proportional to 1,209.40, 1,668.76 and 712.14 is: 982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.40 : 1,668.76 = 712.14 : x
  2. Step 2: Convert to fraction form
    1,209.40/1,668.76 = 712.14/x
  3. Step 3: Cross multiply
    1,209.40x = 1,668.76 × 712.14
  4. Step 4: Simplify right side
    1,209.40x = 1,188,390.75
  5. Step 5: Solve for x
    x = 1,188,390.75/1,209.40
  6. Step 6: Final answer
    x = 982.63

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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.