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Finding the Fourth Proportional to 1,445.52, 2,168.64 and 419.52

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Solution

The fourth proportional to 1,445.52, 2,168.64 and 419.52 is: 629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.52 : 2,168.64 = 419.52 : x
  2. Step 2: Convert to fraction form
    1,445.52/2,168.64 = 419.52/x
  3. Step 3: Cross multiply
    1,445.52x = 2,168.64 × 419.52
  4. Step 4: Simplify right side
    1,445.52x = 909,787.85
  5. Step 5: Solve for x
    x = 909,787.85/1,445.52
  6. Step 6: Final answer
    x = 629.38

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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.