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Finding the Fourth Proportional to 1,342.30, 2,011.89 and 794.94

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Solution

The fourth proportional to 1,342.30, 2,011.89 and 794.94 is: 1,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.30 : 2,011.89 = 794.94 : x
  2. Step 2: Convert to fraction form
    1,342.30/2,011.89 = 794.94/x
  3. Step 3: Cross multiply
    1,342.30x = 2,011.89 × 794.94
  4. Step 4: Simplify right side
    1,342.30x = 1,599,331.84
  5. Step 5: Solve for x
    x = 1,599,331.84/1,342.30
  6. Step 6: Final answer
    x = 1,191.49

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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.