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Finding the Fourth Proportional to 1,150.38, 1,725.62 and 370.42

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Solution

The fourth proportional to 1,150.38, 1,725.62 and 370.42 is: 555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.38 : 1,725.62 = 370.42 : x
  2. Step 2: Convert to fraction form
    1,150.38/1,725.62 = 370.42/x
  3. Step 3: Cross multiply
    1,150.38x = 1,725.62 × 370.42
  4. Step 4: Simplify right side
    1,150.38x = 639,195.53
  5. Step 5: Solve for x
    x = 639,195.53/1,150.38
  6. Step 6: Final answer
    x = 555.64

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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.