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Finding the Fourth Proportional to 1,033.12, 1,550.16 and 643.02

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Solution

The fourth proportional to 1,033.12, 1,550.16 and 643.02 is: 964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.12 : 1,550.16 = 643.02 : x
  2. Step 2: Convert to fraction form
    1,033.12/1,550.16 = 643.02/x
  3. Step 3: Cross multiply
    1,033.12x = 1,550.16 × 643.02
  4. Step 4: Simplify right side
    1,033.12x = 996,783.88
  5. Step 5: Solve for x
    x = 996,783.88/1,033.12
  6. Step 6: Final answer
    x = 964.83

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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.