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Finding the Fourth Proportional to 1,143.56, 1,577.86 and 671.33

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Solution

The fourth proportional to 1,143.56, 1,577.86 and 671.33 is: 926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.56 : 1,577.86 = 671.33 : x
  2. Step 2: Convert to fraction form
    1,143.56/1,577.86 = 671.33/x
  3. Step 3: Cross multiply
    1,143.56x = 1,577.86 × 671.33
  4. Step 4: Simplify right side
    1,143.56x = 1,059,255.19
  5. Step 5: Solve for x
    x = 1,059,255.19/1,143.56
  6. Step 6: Final answer
    x = 926.28

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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.