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Finding the Fourth Proportional to 1,397.73, 2,096.33 and 668.19

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Solution

The fourth proportional to 1,397.73, 2,096.33 and 668.19 is: 1,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.73 : 2,096.33 = 668.19 : x
  2. Step 2: Convert to fraction form
    1,397.73/2,096.33 = 668.19/x
  3. Step 3: Cross multiply
    1,397.73x = 2,096.33 × 668.19
  4. Step 4: Simplify right side
    1,397.73x = 1,400,743.40
  5. Step 5: Solve for x
    x = 1,400,743.40/1,397.73
  6. Step 6: Final answer
    x = 1,002.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.