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Finding the Fourth Proportional to 1,361.06, 1,879.80 and 918.19

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Solution

The fourth proportional to 1,361.06, 1,879.80 and 918.19 is: 1,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.06 : 1,879.80 = 918.19 : x
  2. Step 2: Convert to fraction form
    1,361.06/1,879.80 = 918.19/x
  3. Step 3: Cross multiply
    1,361.06x = 1,879.80 × 918.19
  4. Step 4: Simplify right side
    1,361.06x = 1,726,013.56
  5. Step 5: Solve for x
    x = 1,726,013.56/1,361.06
  6. Step 6: Final answer
    x = 1,268.14

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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.