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Finding the Fourth Proportional to 1,022.84, 1,534.56 and 329.50

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Solution

The fourth proportional to 1,022.84, 1,534.56 and 329.50 is: 494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.84 : 1,534.56 = 329.50 : x
  2. Step 2: Convert to fraction form
    1,022.84/1,534.56 = 329.50/x
  3. Step 3: Cross multiply
    1,022.84x = 1,534.56 × 329.50
  4. Step 4: Simplify right side
    1,022.84x = 505,631.42
  5. Step 5: Solve for x
    x = 505,631.42/1,022.84
  6. Step 6: Final answer
    x = 494.34

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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.