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Finding the Fourth Proportional to 1,021.77, 1,532.84 and 328.48

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Solution

The fourth proportional to 1,021.77, 1,532.84 and 328.48 is: 492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.77 : 1,532.84 = 328.48 : x
  2. Step 2: Convert to fraction form
    1,021.77/1,532.84 = 328.48/x
  3. Step 3: Cross multiply
    1,021.77x = 1,532.84 × 328.48
  4. Step 4: Simplify right side
    1,021.77x = 503,501.81
  5. Step 5: Solve for x
    x = 503,501.81/1,021.77
  6. Step 6: Final answer
    x = 492.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.