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Finding the Fourth Proportional to 1,150.47, 1,725.75 and 328.67

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Solution

The fourth proportional to 1,150.47, 1,725.75 and 328.67 is: 493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.47 : 1,725.75 = 328.67 : x
  2. Step 2: Convert to fraction form
    1,150.47/1,725.75 = 328.67/x
  3. Step 3: Cross multiply
    1,150.47x = 1,725.75 × 328.67
  4. Step 4: Simplify right side
    1,150.47x = 567,202.25
  5. Step 5: Solve for x
    x = 567,202.25/1,150.47
  6. Step 6: Final answer
    x = 493.02

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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.