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Finding the Fourth Proportional to 786.70, 1,180.82 and 599.86

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Solution

The fourth proportional to 786.70, 1,180.82 and 599.86 is: 900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.70 : 1,180.82 = 599.86 : x
  2. Step 2: Convert to fraction form
    786.70/1,180.82 = 599.86/x
  3. Step 3: Cross multiply
    786.70x = 1,180.82 × 599.86
  4. Step 4: Simplify right side
    786.70x = 708,326.69
  5. Step 5: Solve for x
    x = 708,326.69/786.70
  6. Step 6: Final answer
    x = 900.38

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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.