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Finding the Fourth Proportional to 1,200.28, 1,801.64 and 1,153.58

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Solution

The fourth proportional to 1,200.28, 1,801.64 and 1,153.58 is: 1,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.28 : 1,801.64 = 1,153.58 : x
  2. Step 2: Convert to fraction form
    1,200.28/1,801.64 = 1,153.58/x
  3. Step 3: Cross multiply
    1,200.28x = 1,801.64 × 1,153.58
  4. Step 4: Simplify right side
    1,200.28x = 2,078,335.87
  5. Step 5: Solve for x
    x = 2,078,335.87/1,200.28
  6. Step 6: Final answer
    x = 1,731.54

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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.