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Finding the Fourth Proportional to 1,023.09, 1,534.74 and 329.58

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Solution

The fourth proportional to 1,023.09, 1,534.74 and 329.58 is: 494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.09 : 1,534.74 = 329.58 : x
  2. Step 2: Convert to fraction form
    1,023.09/1,534.74 = 329.58/x
  3. Step 3: Cross multiply
    1,023.09x = 1,534.74 × 329.58
  4. Step 4: Simplify right side
    1,023.09x = 505,819.61
  5. Step 5: Solve for x
    x = 505,819.61/1,023.09
  6. Step 6: Final answer
    x = 494.40

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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.