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Finding the Fourth Proportional to 1,113.36, 1,669.80 and 382.80

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Solution

The fourth proportional to 1,113.36, 1,669.80 and 382.80 is: 574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.36 : 1,669.80 = 382.80 : x
  2. Step 2: Convert to fraction form
    1,113.36/1,669.80 = 382.80/x
  3. Step 3: Cross multiply
    1,113.36x = 1,669.80 × 382.80
  4. Step 4: Simplify right side
    1,113.36x = 639,199.44
  5. Step 5: Solve for x
    x = 639,199.44/1,113.36
  6. Step 6: Final answer
    x = 574.12

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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.