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Finding the Fourth Proportional to 785.99, 1,178.40 and 298.91

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Solution

The fourth proportional to 785.99, 1,178.40 and 298.91 is: 448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.99 : 1,178.40 = 298.91 : x
  2. Step 2: Convert to fraction form
    785.99/1,178.40 = 298.91/x
  3. Step 3: Cross multiply
    785.99x = 1,178.40 × 298.91
  4. Step 4: Simplify right side
    785.99x = 352,235.54
  5. Step 5: Solve for x
    x = 352,235.54/785.99
  6. Step 6: Final answer
    x = 448.14

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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.