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Finding the Fourth Proportional to 1,513.73, 2,271.42 and 774.16

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Solution

The fourth proportional to 1,513.73, 2,271.42 and 774.16 is: 1,161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.73 : 2,271.42 = 774.16 : x
  2. Step 2: Convert to fraction form
    1,513.73/2,271.42 = 774.16/x
  3. Step 3: Cross multiply
    1,513.73x = 2,271.42 × 774.16
  4. Step 4: Simplify right side
    1,513.73x = 1,758,436.83
  5. Step 5: Solve for x
    x = 1,758,436.83/1,513.73
  6. Step 6: Final answer
    x = 1,161.66

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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.