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Finding the Fourth Proportional to 1,774.82, 2,449.37 and 988.99

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Solution

The fourth proportional to 1,774.82, 2,449.37 and 988.99 is: 1,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.82 : 2,449.37 = 988.99 : x
  2. Step 2: Convert to fraction form
    1,774.82/2,449.37 = 988.99/x
  3. Step 3: Cross multiply
    1,774.82x = 2,449.37 × 988.99
  4. Step 4: Simplify right side
    1,774.82x = 2,422,402.44
  5. Step 5: Solve for x
    x = 2,422,402.44/1,774.82
  6. Step 6: Final answer
    x = 1,364.87

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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.