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Finding the Fourth Proportional to 1,033.98, 1,551.06 and 303.60

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Solution

The fourth proportional to 1,033.98, 1,551.06 and 303.60 is: 455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.98 : 1,551.06 = 303.60 : x
  2. Step 2: Convert to fraction form
    1,033.98/1,551.06 = 303.60/x
  3. Step 3: Cross multiply
    1,033.98x = 1,551.06 × 303.60
  4. Step 4: Simplify right side
    1,033.98x = 470,901.82
  5. Step 5: Solve for x
    x = 470,901.82/1,033.98
  6. Step 6: Final answer
    x = 455.43

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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.