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Finding the Fourth Proportional to 1,609.70, 2,414.16 and 622.31

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Solution

The fourth proportional to 1,609.70, 2,414.16 and 622.31 is: 933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.70 : 2,414.16 = 622.31 : x
  2. Step 2: Convert to fraction form
    1,609.70/2,414.16 = 622.31/x
  3. Step 3: Cross multiply
    1,609.70x = 2,414.16 × 622.31
  4. Step 4: Simplify right side
    1,609.70x = 1,502,343.84
  5. Step 5: Solve for x
    x = 1,502,343.84/1,609.70
  6. Step 6: Final answer
    x = 933.31

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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.