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Finding the Fourth Proportional to 1,178.58, 1,768.42 and 448.14

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Solution

The fourth proportional to 1,178.58, 1,768.42 and 448.14 is: 672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.58 : 1,768.42 = 448.14 : x
  2. Step 2: Convert to fraction form
    1,178.58/1,768.42 = 448.14/x
  3. Step 3: Cross multiply
    1,178.58x = 1,768.42 × 448.14
  4. Step 4: Simplify right side
    1,178.58x = 792,499.74
  5. Step 5: Solve for x
    x = 792,499.74/1,178.58
  6. Step 6: Final answer
    x = 672.42

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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.