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Finding the Fourth Proportional to 1,286.23, 1,774.20 and 788.38

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Solution

The fourth proportional to 1,286.23, 1,774.20 and 788.38 is: 1,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.23 : 1,774.20 = 788.38 : x
  2. Step 2: Convert to fraction form
    1,286.23/1,774.20 = 788.38/x
  3. Step 3: Cross multiply
    1,286.23x = 1,774.20 × 788.38
  4. Step 4: Simplify right side
    1,286.23x = 1,398,752.30
  5. Step 5: Solve for x
    x = 1,398,752.30/1,286.23
  6. Step 6: Final answer
    x = 1,087.48

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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.