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Finding the Fourth Proportional to 1,073.99, 1,612.40 and 920.90

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Solution

The fourth proportional to 1,073.99, 1,612.40 and 920.90 is: 1,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.99 : 1,612.40 = 920.90 : x
  2. Step 2: Convert to fraction form
    1,073.99/1,612.40 = 920.90/x
  3. Step 3: Cross multiply
    1,073.99x = 1,612.40 × 920.90
  4. Step 4: Simplify right side
    1,073.99x = 1,484,846.49
  5. Step 5: Solve for x
    x = 1,484,846.49/1,073.99
  6. Step 6: Final answer
    x = 1,382.56

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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.