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Finding the Fourth Proportional to 1,182.41, 1,631.78 and 658.44

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Solution

The fourth proportional to 1,182.41, 1,631.78 and 658.44 is: 908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.41 : 1,631.78 = 658.44 : x
  2. Step 2: Convert to fraction form
    1,182.41/1,631.78 = 658.44/x
  3. Step 3: Cross multiply
    1,182.41x = 1,631.78 × 658.44
  4. Step 4: Simplify right side
    1,182.41x = 1,074,425.93
  5. Step 5: Solve for x
    x = 1,074,425.93/1,182.41
  6. Step 6: Final answer
    x = 908.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.