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Finding the Fourth Proportional to 1,271.82, 1,754.64 and 767.77

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Solution

The fourth proportional to 1,271.82, 1,754.64 and 767.77 is: 1,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.82 : 1,754.64 = 767.77 : x
  2. Step 2: Convert to fraction form
    1,271.82/1,754.64 = 767.77/x
  3. Step 3: Cross multiply
    1,271.82x = 1,754.64 × 767.77
  4. Step 4: Simplify right side
    1,271.82x = 1,347,159.95
  5. Step 5: Solve for x
    x = 1,347,159.95/1,271.82
  6. Step 6: Final answer
    x = 1,059.24

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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.