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Finding the Fourth Proportional to 1,176.99, 1,765.20 and 446.37

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Solution

The fourth proportional to 1,176.99, 1,765.20 and 446.37 is: 669.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.99 : 1,765.20 = 446.37 : x
  2. Step 2: Convert to fraction form
    1,176.99/1,765.20 = 446.37/x
  3. Step 3: Cross multiply
    1,176.99x = 1,765.20 × 446.37
  4. Step 4: Simplify right side
    1,176.99x = 787,932.32
  5. Step 5: Solve for x
    x = 787,932.32/1,176.99
  6. Step 6: Final answer
    x = 669.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.