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Finding the Fourth Proportional to 1,289.57, 1,932.67 and 596.15

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Solution

The fourth proportional to 1,289.57, 1,932.67 and 596.15 is: 893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.57 : 1,932.67 = 596.15 : x
  2. Step 2: Convert to fraction form
    1,289.57/1,932.67 = 596.15/x
  3. Step 3: Cross multiply
    1,289.57x = 1,932.67 × 596.15
  4. Step 4: Simplify right side
    1,289.57x = 1,152,148.58
  5. Step 5: Solve for x
    x = 1,152,148.58/1,289.57
  6. Step 6: Final answer
    x = 893.44

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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.