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Finding the Fourth Proportional to 1,355.59, 2,033.18 and 431.03

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Solution

The fourth proportional to 1,355.59, 2,033.18 and 431.03 is: 646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.59 : 2,033.18 = 431.03 : x
  2. Step 2: Convert to fraction form
    1,355.59/2,033.18 = 431.03/x
  3. Step 3: Cross multiply
    1,355.59x = 2,033.18 × 431.03
  4. Step 4: Simplify right side
    1,355.59x = 876,361.58
  5. Step 5: Solve for x
    x = 876,361.58/1,355.59
  6. Step 6: Final answer
    x = 646.48

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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.