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Finding the Fourth Proportional to 1,179.90, 1,768.23 and 768.42

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Solution

The fourth proportional to 1,179.90, 1,768.23 and 768.42 is: 1,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.90 : 1,768.23 = 768.42 : x
  2. Step 2: Convert to fraction form
    1,179.90/1,768.23 = 768.42/x
  3. Step 3: Cross multiply
    1,179.90x = 1,768.23 × 768.42
  4. Step 4: Simplify right side
    1,179.90x = 1,358,743.30
  5. Step 5: Solve for x
    x = 1,358,743.30/1,179.90
  6. Step 6: Final answer
    x = 1,151.57

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1.5x scale

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.