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Finding the Fourth Proportional to 1,393.27, 2,090.23 and 468.80

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Solution

The fourth proportional to 1,393.27, 2,090.23 and 468.80 is: 703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.27 : 2,090.23 = 468.80 : x
  2. Step 2: Convert to fraction form
    1,393.27/2,090.23 = 468.80/x
  3. Step 3: Cross multiply
    1,393.27x = 2,090.23 × 468.80
  4. Step 4: Simplify right side
    1,393.27x = 979,904.93
  5. Step 5: Solve for x
    x = 979,904.93/1,393.27
  6. Step 6: Final answer
    x = 703.31

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