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Finding the Fourth Proportional to 1,076.94, 1,485.71 and 678.45

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Solution

The fourth proportional to 1,076.94, 1,485.71 and 678.45 is: 935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.94 : 1,485.71 = 678.45 : x
  2. Step 2: Convert to fraction form
    1,076.94/1,485.71 = 678.45/x
  3. Step 3: Cross multiply
    1,076.94x = 1,485.71 × 678.45
  4. Step 4: Simplify right side
    1,076.94x = 1,007,979.95
  5. Step 5: Solve for x
    x = 1,007,979.95/1,076.94
  6. Step 6: Final answer
    x = 935.97

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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.