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Finding the Fourth Proportional to 1,393.94, 1,923.60 and 764.49

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Solution

The fourth proportional to 1,393.94, 1,923.60 and 764.49 is: 1,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.94 : 1,923.60 = 764.49 : x
  2. Step 2: Convert to fraction form
    1,393.94/1,923.60 = 764.49/x
  3. Step 3: Cross multiply
    1,393.94x = 1,923.60 × 764.49
  4. Step 4: Simplify right side
    1,393.94x = 1,470,572.96
  5. Step 5: Solve for x
    x = 1,470,572.96/1,393.94
  6. Step 6: Final answer
    x = 1,054.98

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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.