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Finding the Fourth Proportional to 1,418.40, 1,957.39 and 828.82

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Solution

The fourth proportional to 1,418.40, 1,957.39 and 828.82 is: 1,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.40 : 1,957.39 = 828.82 : x
  2. Step 2: Convert to fraction form
    1,418.40/1,957.39 = 828.82/x
  3. Step 3: Cross multiply
    1,418.40x = 1,957.39 × 828.82
  4. Step 4: Simplify right side
    1,418.40x = 1,622,317.01
  5. Step 5: Solve for x
    x = 1,622,317.01/1,418.40
  6. Step 6: Final answer
    x = 1,143.77

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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.