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Finding the Fourth Proportional to 786.81, 1,180.23 and 420.48

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Solution

The fourth proportional to 786.81, 1,180.23 and 420.48 is: 630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.81 : 1,180.23 = 420.48 : x
  2. Step 2: Convert to fraction form
    786.81/1,180.23 = 420.48/x
  3. Step 3: Cross multiply
    786.81x = 1,180.23 × 420.48
  4. Step 4: Simplify right side
    786.81x = 496,263.11
  5. Step 5: Solve for x
    x = 496,263.11/786.81
  6. Step 6: Final answer
    x = 630.73

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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.