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Finding the Fourth Proportional to 880.37, 1,314.23 and 816.28

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Solution

The fourth proportional to 880.37, 1,314.23 and 816.28 is: 1,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.37 : 1,314.23 = 816.28 : x
  2. Step 2: Convert to fraction form
    880.37/1,314.23 = 816.28/x
  3. Step 3: Cross multiply
    880.37x = 1,314.23 × 816.28
  4. Step 4: Simplify right side
    880.37x = 1,072,772.30
  5. Step 5: Solve for x
    x = 1,072,772.30/880.37
  6. Step 6: Final answer
    x = 1,218.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.