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Finding the Fourth Proportional to 1,264.82, 1,745.33 and 740.75

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Solution

The fourth proportional to 1,264.82, 1,745.33 and 740.75 is: 1,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.82 : 1,745.33 = 740.75 : x
  2. Step 2: Convert to fraction form
    1,264.82/1,745.33 = 740.75/x
  3. Step 3: Cross multiply
    1,264.82x = 1,745.33 × 740.75
  4. Step 4: Simplify right side
    1,264.82x = 1,292,840.77
  5. Step 5: Solve for x
    x = 1,292,840.77/1,264.82
  6. Step 6: Final answer
    x = 1,022.16

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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.