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Finding the Fourth Proportional to 1,152.14, 1,728.37 and 567.12

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Solution

The fourth proportional to 1,152.14, 1,728.37 and 567.12 is: 850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.14 : 1,728.37 = 567.12 : x
  2. Step 2: Convert to fraction form
    1,152.14/1,728.37 = 567.12/x
  3. Step 3: Cross multiply
    1,152.14x = 1,728.37 × 567.12
  4. Step 4: Simplify right side
    1,152.14x = 980,190.66
  5. Step 5: Solve for x
    x = 980,190.66/1,152.14
  6. Step 6: Final answer
    x = 850.76

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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.