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Finding the Fourth Proportional to 1,609.33, 2,411.83 and 634.90

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Solution

The fourth proportional to 1,609.33, 2,411.83 and 634.90 is: 951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.33 : 2,411.83 = 634.90 : x
  2. Step 2: Convert to fraction form
    1,609.33/2,411.83 = 634.90/x
  3. Step 3: Cross multiply
    1,609.33x = 2,411.83 × 634.90
  4. Step 4: Simplify right side
    1,609.33x = 1,531,270.87
  5. Step 5: Solve for x
    x = 1,531,270.87/1,609.33
  6. Step 6: Final answer
    x = 951.50

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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.