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Finding the Fourth Proportional to 1,176.54, 1,764.46 and 767.84

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Solution

The fourth proportional to 1,176.54, 1,764.46 and 767.84 is: 1,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.54 : 1,764.46 = 767.84 : x
  2. Step 2: Convert to fraction form
    1,176.54/1,764.46 = 767.84/x
  3. Step 3: Cross multiply
    1,176.54x = 1,764.46 × 767.84
  4. Step 4: Simplify right side
    1,176.54x = 1,354,830.21
  5. Step 5: Solve for x
    x = 1,354,830.21/1,176.54
  6. Step 6: Final answer
    x = 1,151.54

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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.