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Finding the Fourth Proportional to 1,150.12, 1,725.26 and 328.36

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Solution

The fourth proportional to 1,150.12, 1,725.26 and 328.36 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.12 : 1,725.26 = 328.36 : x
  2. Step 2: Convert to fraction form
    1,150.12/1,725.26 = 328.36/x
  3. Step 3: Cross multiply
    1,150.12x = 1,725.26 × 328.36
  4. Step 4: Simplify right side
    1,150.12x = 566,506.37
  5. Step 5: Solve for x
    x = 566,506.37/1,150.12
  6. Step 6: Final answer
    x = 492.56

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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.