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Finding the Fourth Proportional to 1,176.41, 1,765.31 and 446.05

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Solution

The fourth proportional to 1,176.41, 1,765.31 and 446.05 is: 669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.41 : 1,765.31 = 446.05 : x
  2. Step 2: Convert to fraction form
    1,176.41/1,765.31 = 446.05/x
  3. Step 3: Cross multiply
    1,176.41x = 1,765.31 × 446.05
  4. Step 4: Simplify right side
    1,176.41x = 787,409.88
  5. Step 5: Solve for x
    x = 787,409.88/1,176.41
  6. Step 6: Final answer
    x = 669.33

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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.