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Finding the Fourth Proportional to 1,022.37, 1,533.66 and 328.87

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Solution

The fourth proportional to 1,022.37, 1,533.66 and 328.87 is: 493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.37 : 1,533.66 = 328.87 : x
  2. Step 2: Convert to fraction form
    1,022.37/1,533.66 = 328.87/x
  3. Step 3: Cross multiply
    1,022.37x = 1,533.66 × 328.87
  4. Step 4: Simplify right side
    1,022.37x = 504,374.76
  5. Step 5: Solve for x
    x = 504,374.76/1,022.37
  6. Step 6: Final answer
    x = 493.34

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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.