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Finding the Fourth Proportional to 1,146.46, 1,578.64 and 946.54

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Solution

The fourth proportional to 1,146.46, 1,578.64 and 946.54 is: 1,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.46 : 1,578.64 = 946.54 : x
  2. Step 2: Convert to fraction form
    1,146.46/1,578.64 = 946.54/x
  3. Step 3: Cross multiply
    1,146.46x = 1,578.64 × 946.54
  4. Step 4: Simplify right side
    1,146.46x = 1,494,245.91
  5. Step 5: Solve for x
    x = 1,494,245.91/1,146.46
  6. Step 6: Final answer
    x = 1,303.36

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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.