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Finding the Fourth Proportional to 786.30, 1,179.76 and 375.62

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Solution

The fourth proportional to 786.30, 1,179.76 and 375.62 is: 563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.30 : 1,179.76 = 375.62 : x
  2. Step 2: Convert to fraction form
    786.30/1,179.76 = 375.62/x
  3. Step 3: Cross multiply
    786.30x = 1,179.76 × 375.62
  4. Step 4: Simplify right side
    786.30x = 443,141.45
  5. Step 5: Solve for x
    x = 443,141.45/786.30
  6. Step 6: Final answer
    x = 563.58

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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.