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Finding the Fourth Proportional to 1,186.57, 1,780.11 and 406.52

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Solution

The fourth proportional to 1,186.57, 1,780.11 and 406.52 is: 609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.57 : 1,780.11 = 406.52 : x
  2. Step 2: Convert to fraction form
    1,186.57/1,780.11 = 406.52/x
  3. Step 3: Cross multiply
    1,186.57x = 1,780.11 × 406.52
  4. Step 4: Simplify right side
    1,186.57x = 723,650.32
  5. Step 5: Solve for x
    x = 723,650.32/1,186.57
  6. Step 6: Final answer
    x = 609.87

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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.