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Finding the Fourth Proportional to 1,021.53, 1,532.31 and 328.28

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Solution

The fourth proportional to 1,021.53, 1,532.31 and 328.28 is: 492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.53 : 1,532.31 = 328.28 : x
  2. Step 2: Convert to fraction form
    1,021.53/1,532.31 = 328.28/x
  3. Step 3: Cross multiply
    1,021.53x = 1,532.31 × 328.28
  4. Step 4: Simplify right side
    1,021.53x = 503,019.07
  5. Step 5: Solve for x
    x = 503,019.07/1,021.53
  6. Step 6: Final answer
    x = 492.42

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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.