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Finding the Fourth Proportional to 1,194.42, 1,648.44 and 728.67

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Solution

The fourth proportional to 1,194.42, 1,648.44 and 728.67 is: 1,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.42 : 1,648.44 = 728.67 : x
  2. Step 2: Convert to fraction form
    1,194.42/1,648.44 = 728.67/x
  3. Step 3: Cross multiply
    1,194.42x = 1,648.44 × 728.67
  4. Step 4: Simplify right side
    1,194.42x = 1,201,168.77
  5. Step 5: Solve for x
    x = 1,201,168.77/1,194.42
  6. Step 6: Final answer
    x = 1,005.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.