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Finding the Fourth Proportional to 1,142.64, 1,577.62 and 863.46

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Solution

The fourth proportional to 1,142.64, 1,577.62 and 863.46 is: 1,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.64 : 1,577.62 = 863.46 : x
  2. Step 2: Convert to fraction form
    1,142.64/1,577.62 = 863.46/x
  3. Step 3: Cross multiply
    1,142.64x = 1,577.62 × 863.46
  4. Step 4: Simplify right side
    1,142.64x = 1,362,211.77
  5. Step 5: Solve for x
    x = 1,362,211.77/1,142.64
  6. Step 6: Final answer
    x = 1,192.16

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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.