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Finding the Fourth Proportional to 1,046.82, 1,441.88 and 968.98

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Solution

The fourth proportional to 1,046.82, 1,441.88 and 968.98 is: 1,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.82 : 1,441.88 = 968.98 : x
  2. Step 2: Convert to fraction form
    1,046.82/1,441.88 = 968.98/x
  3. Step 3: Cross multiply
    1,046.82x = 1,441.88 × 968.98
  4. Step 4: Simplify right side
    1,046.82x = 1,397,152.88
  5. Step 5: Solve for x
    x = 1,397,152.88/1,046.82
  6. Step 6: Final answer
    x = 1,334.66

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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.