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Finding the Fourth Proportional to 1,176.37, 1,764.32 and 445.70

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Solution

The fourth proportional to 1,176.37, 1,764.32 and 445.70 is: 668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.37 : 1,764.32 = 445.70 : x
  2. Step 2: Convert to fraction form
    1,176.37/1,764.32 = 445.70/x
  3. Step 3: Cross multiply
    1,176.37x = 1,764.32 × 445.70
  4. Step 4: Simplify right side
    1,176.37x = 786,357.42
  5. Step 5: Solve for x
    x = 786,357.42/1,176.37
  6. Step 6: Final answer
    x = 668.46

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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.