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Finding the Fourth Proportional to 786.09, 1,178.93 and 299.15

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Solution

The fourth proportional to 786.09, 1,178.93 and 299.15 is: 448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.09 : 1,178.93 = 299.15 : x
  2. Step 2: Convert to fraction form
    786.09/1,178.93 = 299.15/x
  3. Step 3: Cross multiply
    786.09x = 1,178.93 × 299.15
  4. Step 4: Simplify right side
    786.09x = 352,669.52
  5. Step 5: Solve for x
    x = 352,669.52/786.09
  6. Step 6: Final answer
    x = 448.64

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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.