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Finding the Fourth Proportional to 786.66, 1,180.14 and 299.71

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Solution

The fourth proportional to 786.66, 1,180.14 and 299.71 is: 449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.66 : 1,180.14 = 299.71 : x
  2. Step 2: Convert to fraction form
    786.66/1,180.14 = 299.71/x
  3. Step 3: Cross multiply
    786.66x = 1,180.14 × 299.71
  4. Step 4: Simplify right side
    786.66x = 353,699.76
  5. Step 5: Solve for x
    x = 353,699.76/786.66
  6. Step 6: Final answer
    x = 449.62

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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.