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Finding the Fourth Proportional to 1,150.54, 1,725.91 and 328.79

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Solution

The fourth proportional to 1,150.54, 1,725.91 and 328.79 is: 493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.54 : 1,725.91 = 328.79 : x
  2. Step 2: Convert to fraction form
    1,150.54/1,725.91 = 328.79/x
  3. Step 3: Cross multiply
    1,150.54x = 1,725.91 × 328.79
  4. Step 4: Simplify right side
    1,150.54x = 567,465.44
  5. Step 5: Solve for x
    x = 567,465.44/1,150.54
  6. Step 6: Final answer
    x = 493.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.