Home / 1,176.64-1,764.27-446.27

Finding the Fourth Proportional to 1,176.64, 1,764.27 and 446.27

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Solution

The fourth proportional to 1,176.64, 1,764.27 and 446.27 is: 669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.64 : 1,764.27 = 446.27 : x
  2. Step 2: Convert to fraction form
    1,176.64/1,764.27 = 446.27/x
  3. Step 3: Cross multiply
    1,176.64x = 1,764.27 × 446.27
  4. Step 4: Simplify right side
    1,176.64x = 787,338.57
  5. Step 5: Solve for x
    x = 787,338.57/1,176.64
  6. Step 6: Final answer
    x = 669.14

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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.