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Finding the Fourth Proportional to 1,648.44, 2,274.79 and 985.14

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Solution

The fourth proportional to 1,648.44, 2,274.79 and 985.14 is: 1,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.44 : 2,274.79 = 985.14 : x
  2. Step 2: Convert to fraction form
    1,648.44/2,274.79 = 985.14/x
  3. Step 3: Cross multiply
    1,648.44x = 2,274.79 × 985.14
  4. Step 4: Simplify right side
    1,648.44x = 2,240,986.62
  5. Step 5: Solve for x
    x = 2,240,986.62/1,648.44
  6. Step 6: Final answer
    x = 1,359.46

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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.