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Finding the Fourth Proportional to 1,394.35, 2,091.23 and 614.35

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Solution

The fourth proportional to 1,394.35, 2,091.23 and 614.35 is: 921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.35 : 2,091.23 = 614.35 : x
  2. Step 2: Convert to fraction form
    1,394.35/2,091.23 = 614.35/x
  3. Step 3: Cross multiply
    1,394.35x = 2,091.23 × 614.35
  4. Step 4: Simplify right side
    1,394.35x = 1,284,744.08
  5. Step 5: Solve for x
    x = 1,284,744.08/1,394.35
  6. Step 6: Final answer
    x = 921.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.