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Finding the Fourth Proportional to 786.69, 1,178.96 and 299.07

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Solution

The fourth proportional to 786.69, 1,178.96 and 299.07 is: 448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.69 : 1,178.96 = 299.07 : x
  2. Step 2: Convert to fraction form
    786.69/1,178.96 = 299.07/x
  3. Step 3: Cross multiply
    786.69x = 1,178.96 × 299.07
  4. Step 4: Simplify right side
    786.69x = 352,590.07
  5. Step 5: Solve for x
    x = 352,590.07/786.69
  6. Step 6: Final answer
    x = 448.19

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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.