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Finding the Fourth Proportional to 1,021.69, 1,532.64 and 328.11

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Solution

The fourth proportional to 1,021.69, 1,532.64 and 328.11 is: 492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.69 : 1,532.64 = 328.11 : x
  2. Step 2: Convert to fraction form
    1,021.69/1,532.64 = 328.11/x
  3. Step 3: Cross multiply
    1,021.69x = 1,532.64 × 328.11
  4. Step 4: Simplify right side
    1,021.69x = 502,874.51
  5. Step 5: Solve for x
    x = 502,874.51/1,021.69
  6. Step 6: Final answer
    x = 492.20

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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.