Home / 1,176.76-1,764.99-446.14

Finding the Fourth Proportional to 1,176.76, 1,764.99 and 446.14

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Solution

The fourth proportional to 1,176.76, 1,764.99 and 446.14 is: 669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.76 : 1,764.99 = 446.14 : x
  2. Step 2: Convert to fraction form
    1,176.76/1,764.99 = 446.14/x
  3. Step 3: Cross multiply
    1,176.76x = 1,764.99 × 446.14
  4. Step 4: Simplify right side
    1,176.76x = 787,432.64
  5. Step 5: Solve for x
    x = 787,432.64/1,176.76
  6. Step 6: Final answer
    x = 669.15

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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.