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Finding the Fourth Proportional to 1,022.16, 1,533.04 and 328.66

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Solution

The fourth proportional to 1,022.16, 1,533.04 and 328.66 is: 492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.16 : 1,533.04 = 328.66 : x
  2. Step 2: Convert to fraction form
    1,022.16/1,533.04 = 328.66/x
  3. Step 3: Cross multiply
    1,022.16x = 1,533.04 × 328.66
  4. Step 4: Simplify right side
    1,022.16x = 503,844.73
  5. Step 5: Solve for x
    x = 503,844.73/1,022.16
  6. Step 6: Final answer
    x = 492.92

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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.