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Finding the Fourth Proportional to 765.78, 1,147.84 and 376.05

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Solution

The fourth proportional to 765.78, 1,147.84 and 376.05 is: 563.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.78 : 1,147.84 = 376.05 : x
  2. Step 2: Convert to fraction form
    765.78/1,147.84 = 376.05/x
  3. Step 3: Cross multiply
    765.78x = 1,147.84 × 376.05
  4. Step 4: Simplify right side
    765.78x = 431,645.23
  5. Step 5: Solve for x
    x = 431,645.23/765.78
  6. Step 6: Final answer
    x = 563.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.