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Finding the Fourth Proportional to 786.95, 1,179.86 and 375.87

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Solution

The fourth proportional to 786.95, 1,179.86 and 375.87 is: 563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.95 : 1,179.86 = 375.87 : x
  2. Step 2: Convert to fraction form
    786.95/1,179.86 = 375.87/x
  3. Step 3: Cross multiply
    786.95x = 1,179.86 × 375.87
  4. Step 4: Simplify right side
    786.95x = 443,472.10
  5. Step 5: Solve for x
    x = 443,472.10/786.95
  6. Step 6: Final answer
    x = 563.54

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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.