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Finding the Fourth Proportional to 1,021.75, 1,532.16 and 328.24

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Solution

The fourth proportional to 1,021.75, 1,532.16 and 328.24 is: 492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.75 : 1,532.16 = 328.24 : x
  2. Step 2: Convert to fraction form
    1,021.75/1,532.16 = 328.24/x
  3. Step 3: Cross multiply
    1,021.75x = 1,532.16 × 328.24
  4. Step 4: Simplify right side
    1,021.75x = 502,916.20
  5. Step 5: Solve for x
    x = 502,916.20/1,021.75
  6. Step 6: Final answer
    x = 492.21

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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.