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Finding the Fourth Proportional to 1,633.03, 2,253.60 and 960.66

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Solution

The fourth proportional to 1,633.03, 2,253.60 and 960.66 is: 1,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.03 : 2,253.60 = 960.66 : x
  2. Step 2: Convert to fraction form
    1,633.03/2,253.60 = 960.66/x
  3. Step 3: Cross multiply
    1,633.03x = 2,253.60 × 960.66
  4. Step 4: Simplify right side
    1,633.03x = 2,164,927.30
  5. Step 5: Solve for x
    x = 2,164,927.30/1,633.03
  6. Step 6: Final answer
    x = 1,325.71

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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.