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Finding the Fourth Proportional to 938.19, 1,408.10 and 505.65

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Solution

The fourth proportional to 938.19, 1,408.10 and 505.65 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.19 : 1,408.10 = 505.65 : x
  2. Step 2: Convert to fraction form
    938.19/1,408.10 = 505.65/x
  3. Step 3: Cross multiply
    938.19x = 1,408.10 × 505.65
  4. Step 4: Simplify right side
    938.19x = 712,003.24
  5. Step 5: Solve for x
    x = 712,003.24/938.19
  6. Step 6: Final answer
    x = 758.91

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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.