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Finding the Fourth Proportional to 930.44, 1,392.42 and 785.72

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Solution

The fourth proportional to 930.44, 1,392.42 and 785.72 is: 1,175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.44 : 1,392.42 = 785.72 : x
  2. Step 2: Convert to fraction form
    930.44/1,392.42 = 785.72/x
  3. Step 3: Cross multiply
    930.44x = 1,392.42 × 785.72
  4. Step 4: Simplify right side
    930.44x = 1,094,052.24
  5. Step 5: Solve for x
    x = 1,094,052.24/930.44
  6. Step 6: Final answer
    x = 1,175.84

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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.