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Finding the Fourth Proportional to 1,197.50, 1,651.62 and 755.24

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Solution

The fourth proportional to 1,197.50, 1,651.62 and 755.24 is: 1,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.50 : 1,651.62 = 755.24 : x
  2. Step 2: Convert to fraction form
    1,197.50/1,651.62 = 755.24/x
  3. Step 3: Cross multiply
    1,197.50x = 1,651.62 × 755.24
  4. Step 4: Simplify right side
    1,197.50x = 1,247,369.49
  5. Step 5: Solve for x
    x = 1,247,369.49/1,197.50
  6. Step 6: Final answer
    x = 1,041.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.