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Finding the Fourth Proportional to 1,209.13, 1,668.59 and 657.13

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Solution

The fourth proportional to 1,209.13, 1,668.59 and 657.13 is: 906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.13 : 1,668.59 = 657.13 : x
  2. Step 2: Convert to fraction form
    1,209.13/1,668.59 = 657.13/x
  3. Step 3: Cross multiply
    1,209.13x = 1,668.59 × 657.13
  4. Step 4: Simplify right side
    1,209.13x = 1,096,480.55
  5. Step 5: Solve for x
    x = 1,096,480.55/1,209.13
  6. Step 6: Final answer
    x = 906.83

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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.