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Finding the Fourth Proportional to 938.83, 1,408.57 and 591.79

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Solution

The fourth proportional to 938.83, 1,408.57 and 591.79 is: 887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.83 : 1,408.57 = 591.79 : x
  2. Step 2: Convert to fraction form
    938.83/1,408.57 = 591.79/x
  3. Step 3: Cross multiply
    938.83x = 1,408.57 × 591.79
  4. Step 4: Simplify right side
    938.83x = 833,577.64
  5. Step 5: Solve for x
    x = 833,577.64/938.83
  6. Step 6: Final answer
    x = 887.89

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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.