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Finding the Fourth Proportional to 1,455.82, 2,182.49 and 633.47

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Solution

The fourth proportional to 1,455.82, 2,182.49 and 633.47 is: 949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.82 : 2,182.49 = 633.47 : x
  2. Step 2: Convert to fraction form
    1,455.82/2,182.49 = 633.47/x
  3. Step 3: Cross multiply
    1,455.82x = 2,182.49 × 633.47
  4. Step 4: Simplify right side
    1,455.82x = 1,382,546.08
  5. Step 5: Solve for x
    x = 1,382,546.08/1,455.82
  6. Step 6: Final answer
    x = 949.67

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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.