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Finding the Fourth Proportional to 1,394.94, 1,923.73 and 1,021.80

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Solution

The fourth proportional to 1,394.94, 1,923.73 and 1,021.80 is: 1,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.94 : 1,923.73 = 1,021.80 : x
  2. Step 2: Convert to fraction form
    1,394.94/1,923.73 = 1,021.80/x
  3. Step 3: Cross multiply
    1,394.94x = 1,923.73 × 1,021.80
  4. Step 4: Simplify right side
    1,394.94x = 1,965,667.31
  5. Step 5: Solve for x
    x = 1,965,667.31/1,394.94
  6. Step 6: Final answer
    x = 1,409.14

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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.