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Finding the Fourth Proportional to 1,176.62, 1,765.02 and 446.19

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Solution

The fourth proportional to 1,176.62, 1,765.02 and 446.19 is: 669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.62 : 1,765.02 = 446.19 : x
  2. Step 2: Convert to fraction form
    1,176.62/1,765.02 = 446.19/x
  3. Step 3: Cross multiply
    1,176.62x = 1,765.02 × 446.19
  4. Step 4: Simplify right side
    1,176.62x = 787,534.27
  5. Step 5: Solve for x
    x = 787,534.27/1,176.62
  6. Step 6: Final answer
    x = 669.32

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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.