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Finding the Fourth Proportional to 1,178.24, 1,768.44 and 601.52

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Solution

The fourth proportional to 1,178.24, 1,768.44 and 601.52 is: 902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.24 : 1,768.44 = 601.52 : x
  2. Step 2: Convert to fraction form
    1,178.24/1,768.44 = 601.52/x
  3. Step 3: Cross multiply
    1,178.24x = 1,768.44 × 601.52
  4. Step 4: Simplify right side
    1,178.24x = 1,063,752.03
  5. Step 5: Solve for x
    x = 1,063,752.03/1,178.24
  6. Step 6: Final answer
    x = 902.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.