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Finding the Fourth Proportional to 1,437.37, 1,984.32 and 967.73

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Solution

The fourth proportional to 1,437.37, 1,984.32 and 967.73 is: 1,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.37 : 1,984.32 = 967.73 : x
  2. Step 2: Convert to fraction form
    1,437.37/1,984.32 = 967.73/x
  3. Step 3: Cross multiply
    1,437.37x = 1,984.32 × 967.73
  4. Step 4: Simplify right side
    1,437.37x = 1,920,285.99
  5. Step 5: Solve for x
    x = 1,920,285.99/1,437.37
  6. Step 6: Final answer
    x = 1,335.97

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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.