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Finding the Fourth Proportional to 1,394.46, 1,923.51 and 922.36

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Solution

The fourth proportional to 1,394.46, 1,923.51 and 922.36 is: 1,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.46 : 1,923.51 = 922.36 : x
  2. Step 2: Convert to fraction form
    1,394.46/1,923.51 = 922.36/x
  3. Step 3: Cross multiply
    1,394.46x = 1,923.51 × 922.36
  4. Step 4: Simplify right side
    1,394.46x = 1,774,168.68
  5. Step 5: Solve for x
    x = 1,774,168.68/1,394.46
  6. Step 6: Final answer
    x = 1,272.30

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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.