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Finding the Fourth Proportional to 786, 1,179.24 and 299.28

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Solution

The fourth proportional to 786, 1,179.24 and 299.28 is: 449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    786 : 1,179.24 = 299.28 : x
  2. Step 2: Convert to fraction form
    786/1,179.24 = 299.28/x
  3. Step 3: Cross multiply
    786x = 1,179.24 × 299.28
  4. Step 4: Simplify right side
    786x = 352,922.95
  5. Step 5: Solve for x
    x = 352,922.95/786
  6. Step 6: Final answer
    x = 449.01

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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.