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Finding the Fourth Proportional to 1,008.67, 1,391.71 and 772.83

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Solution

The fourth proportional to 1,008.67, 1,391.71 and 772.83 is: 1,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.67 : 1,391.71 = 772.83 : x
  2. Step 2: Convert to fraction form
    1,008.67/1,391.71 = 772.83/x
  3. Step 3: Cross multiply
    1,008.67x = 1,391.71 × 772.83
  4. Step 4: Simplify right side
    1,008.67x = 1,075,555.24
  5. Step 5: Solve for x
    x = 1,075,555.24/1,008.67
  6. Step 6: Final answer
    x = 1,066.31

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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.