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Finding the Fourth Proportional to 1,023.16, 1,534.84 and 329.84

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Solution

The fourth proportional to 1,023.16, 1,534.84 and 329.84 is: 494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.16 : 1,534.84 = 329.84 : x
  2. Step 2: Convert to fraction form
    1,023.16/1,534.84 = 329.84/x
  3. Step 3: Cross multiply
    1,023.16x = 1,534.84 × 329.84
  4. Step 4: Simplify right side
    1,023.16x = 506,251.63
  5. Step 5: Solve for x
    x = 506,251.63/1,023.16
  6. Step 6: Final answer
    x = 494.79

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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.