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Finding the Fourth Proportional to 1,066.94, 1,591.83 and 950.00

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Solution

The fourth proportional to 1,066.94, 1,591.83 and 950.00 is: 1,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.94 : 1,591.83 = 950.00 : x
  2. Step 2: Convert to fraction form
    1,066.94/1,591.83 = 950.00/x
  3. Step 3: Cross multiply
    1,066.94x = 1,591.83 × 950.00
  4. Step 4: Simplify right side
    1,066.94x = 1,512,230.54
  5. Step 5: Solve for x
    x = 1,512,230.54/1,066.94
  6. Step 6: Final answer
    x = 1,417.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.