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Finding the Fourth Proportional to 1,150.14, 1,725.81 and 573

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Solution

The fourth proportional to 1,150.14, 1,725.81 and 573 is: 859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.14 : 1,725.81 = 573 : x
  2. Step 2: Convert to fraction form
    1,150.14/1,725.81 = 573/x
  3. Step 3: Cross multiply
    1,150.14x = 1,725.81 × 573
  4. Step 4: Simplify right side
    1,150.14x = 988,889.13
  5. Step 5: Solve for x
    x = 988,889.13/1,150.14
  6. Step 6: Final answer
    x = 859.80

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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.