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Finding the Fourth Proportional to 1,789.68, 2,684.14 and 490.84

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Solution

The fourth proportional to 1,789.68, 2,684.14 and 490.84 is: 736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.68 : 2,684.14 = 490.84 : x
  2. Step 2: Convert to fraction form
    1,789.68/2,684.14 = 490.84/x
  3. Step 3: Cross multiply
    1,789.68x = 2,684.14 × 490.84
  4. Step 4: Simplify right side
    1,789.68x = 1,317,483.28
  5. Step 5: Solve for x
    x = 1,317,483.28/1,789.68
  6. Step 6: Final answer
    x = 736.16

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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.