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Finding the Fourth Proportional to 1,594.30, 2,388.99 and 669.64

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Solution

The fourth proportional to 1,594.30, 2,388.99 and 669.64 is: 1,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.30 : 2,388.99 = 669.64 : x
  2. Step 2: Convert to fraction form
    1,594.30/2,388.99 = 669.64/x
  3. Step 3: Cross multiply
    1,594.30x = 2,388.99 × 669.64
  4. Step 4: Simplify right side
    1,594.30x = 1,599,763.26
  5. Step 5: Solve for x
    x = 1,599,763.26/1,594.30
  6. Step 6: Final answer
    x = 1,003.43

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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.