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Finding the Fourth Proportional to 771.42, 1,155.40 and 596.86

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Solution

The fourth proportional to 771.42, 1,155.40 and 596.86 is: 893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.42 : 1,155.40 = 596.86 : x
  2. Step 2: Convert to fraction form
    771.42/1,155.40 = 596.86/x
  3. Step 3: Cross multiply
    771.42x = 1,155.40 × 596.86
  4. Step 4: Simplify right side
    771.42x = 689,612.04
  5. Step 5: Solve for x
    x = 689,612.04/771.42
  6. Step 6: Final answer
    x = 893.95

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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.