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Finding the Fourth Proportional to 1,770.70, 2,653.99 and 991.05

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Solution

The fourth proportional to 1,770.70, 2,653.99 and 991.05 is: 1,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.70 : 2,653.99 = 991.05 : x
  2. Step 2: Convert to fraction form
    1,770.70/2,653.99 = 991.05/x
  3. Step 3: Cross multiply
    1,770.70x = 2,653.99 × 991.05
  4. Step 4: Simplify right side
    1,770.70x = 2,630,218.56
  5. Step 5: Solve for x
    x = 2,630,218.56/1,770.70
  6. Step 6: Final answer
    x = 1,485.42

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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.