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Finding the Fourth Proportional to 1,022.55, 1,533.45 and 329.40

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Solution

The fourth proportional to 1,022.55, 1,533.45 and 329.40 is: 493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.55 : 1,533.45 = 329.40 : x
  2. Step 2: Convert to fraction form
    1,022.55/1,533.45 = 329.40/x
  3. Step 3: Cross multiply
    1,022.55x = 1,533.45 × 329.40
  4. Step 4: Simplify right side
    1,022.55x = 505,118.43
  5. Step 5: Solve for x
    x = 505,118.43/1,022.55
  6. Step 6: Final answer
    x = 493.98

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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.