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Finding the Fourth Proportional to 1,020.36, 1,529.64 and 776.28

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Solution

The fourth proportional to 1,020.36, 1,529.64 and 776.28 is: 1,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.36 : 1,529.64 = 776.28 : x
  2. Step 2: Convert to fraction form
    1,020.36/1,529.64 = 776.28/x
  3. Step 3: Cross multiply
    1,020.36x = 1,529.64 × 776.28
  4. Step 4: Simplify right side
    1,020.36x = 1,187,428.94
  5. Step 5: Solve for x
    x = 1,187,428.94/1,020.36
  6. Step 6: Final answer
    x = 1,163.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.