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Finding the Fourth Proportional to 884.50, 1,328.36 and 775.14

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Solution

The fourth proportional to 884.50, 1,328.36 and 775.14 is: 1,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.50 : 1,328.36 = 775.14 : x
  2. Step 2: Convert to fraction form
    884.50/1,328.36 = 775.14/x
  3. Step 3: Cross multiply
    884.50x = 1,328.36 × 775.14
  4. Step 4: Simplify right side
    884.50x = 1,029,664.97
  5. Step 5: Solve for x
    x = 1,029,664.97/884.50
  6. Step 6: Final answer
    x = 1,164.12

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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.