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Finding the Fourth Proportional to 758.41, 1,137.44 and 393.00

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Solution

The fourth proportional to 758.41, 1,137.44 and 393.00 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.41 : 1,137.44 = 393.00 : x
  2. Step 2: Convert to fraction form
    758.41/1,137.44 = 393.00/x
  3. Step 3: Cross multiply
    758.41x = 1,137.44 × 393.00
  4. Step 4: Simplify right side
    758.41x = 447,017.04
  5. Step 5: Solve for x
    x = 447,017.04/758.41
  6. Step 6: Final answer
    x = 589.41

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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.