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Finding the Fourth Proportional to 1,484.96, 2,218.41 and 960.68

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Solution

The fourth proportional to 1,484.96, 2,218.41 and 960.68 is: 1,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.96 : 2,218.41 = 960.68 : x
  2. Step 2: Convert to fraction form
    1,484.96/2,218.41 = 960.68/x
  3. Step 3: Cross multiply
    1,484.96x = 2,218.41 × 960.68
  4. Step 4: Simplify right side
    1,484.96x = 2,131,187.66
  5. Step 5: Solve for x
    x = 2,131,187.66/1,484.96
  6. Step 6: Final answer
    x = 1,435.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.