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Finding the Fourth Proportional to 789.26, 1,089.20 and 435.20

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Solution

The fourth proportional to 789.26, 1,089.20 and 435.20 is: 600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.26 : 1,089.20 = 435.20 : x
  2. Step 2: Convert to fraction form
    789.26/1,089.20 = 435.20/x
  3. Step 3: Cross multiply
    789.26x = 1,089.20 × 435.20
  4. Step 4: Simplify right side
    789.26x = 474,019.84
  5. Step 5: Solve for x
    x = 474,019.84/789.26
  6. Step 6: Final answer
    x = 600.59

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Double scale
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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.