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Finding the Fourth Proportional to 1,232, 1,848.22 and 410.32

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Solution

The fourth proportional to 1,232, 1,848.22 and 410.32 is: 615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232 : 1,848.22 = 410.32 : x
  2. Step 2: Convert to fraction form
    1,232/1,848.22 = 410.32/x
  3. Step 3: Cross multiply
    1,232x = 1,848.22 × 410.32
  4. Step 4: Simplify right side
    1,232x = 758,361.63
  5. Step 5: Solve for x
    x = 758,361.63/1,232
  6. Step 6: Final answer
    x = 615.55

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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.