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Finding the Fourth Proportional to 1,307.73, 1,961.47 and 814.23

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Solution

The fourth proportional to 1,307.73, 1,961.47 and 814.23 is: 1,221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.73 : 1,961.47 = 814.23 : x
  2. Step 2: Convert to fraction form
    1,307.73/1,961.47 = 814.23/x
  3. Step 3: Cross multiply
    1,307.73x = 1,961.47 × 814.23
  4. Step 4: Simplify right side
    1,307.73x = 1,597,087.72
  5. Step 5: Solve for x
    x = 1,597,087.72/1,307.73
  6. Step 6: Final answer
    x = 1,221.27

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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.