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Finding the Fourth Proportional to 1,070.25, 1,605.44 and 300.81

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Solution

The fourth proportional to 1,070.25, 1,605.44 and 300.81 is: 451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.25 : 1,605.44 = 300.81 : x
  2. Step 2: Convert to fraction form
    1,070.25/1,605.44 = 300.81/x
  3. Step 3: Cross multiply
    1,070.25x = 1,605.44 × 300.81
  4. Step 4: Simplify right side
    1,070.25x = 482,932.41
  5. Step 5: Solve for x
    x = 482,932.41/1,070.25
  6. Step 6: Final answer
    x = 451.23

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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.