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Finding the Fourth Proportional to 1,291.66, 1,936.25 and 828.14

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Solution

The fourth proportional to 1,291.66, 1,936.25 and 828.14 is: 1,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.66 : 1,936.25 = 828.14 : x
  2. Step 2: Convert to fraction form
    1,291.66/1,936.25 = 828.14/x
  3. Step 3: Cross multiply
    1,291.66x = 1,936.25 × 828.14
  4. Step 4: Simplify right side
    1,291.66x = 1,603,486.08
  5. Step 5: Solve for x
    x = 1,603,486.08/1,291.66
  6. Step 6: Final answer
    x = 1,241.41

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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.