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Finding the Fourth Proportional to 1,143.77, 1,578.02 and 678.02

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Solution

The fourth proportional to 1,143.77, 1,578.02 and 678.02 is: 935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.77 : 1,578.02 = 678.02 : x
  2. Step 2: Convert to fraction form
    1,143.77/1,578.02 = 678.02/x
  3. Step 3: Cross multiply
    1,143.77x = 1,578.02 × 678.02
  4. Step 4: Simplify right side
    1,143.77x = 1,069,917.84
  5. Step 5: Solve for x
    x = 1,069,917.84/1,143.77
  6. Step 6: Final answer
    x = 935.44

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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.