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Finding the Fourth Proportional to 1,393.54, 1,923 and 764.02

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Solution

The fourth proportional to 1,393.54, 1,923 and 764.02 is: 1,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.54 : 1,923 = 764.02 : x
  2. Step 2: Convert to fraction form
    1,393.54/1,923 = 764.02/x
  3. Step 3: Cross multiply
    1,393.54x = 1,923 × 764.02
  4. Step 4: Simplify right side
    1,393.54x = 1,469,210.46
  5. Step 5: Solve for x
    x = 1,469,210.46/1,393.54
  6. Step 6: Final answer
    x = 1,054.30

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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.