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Finding the Fourth Proportional to 880.28, 1,313.96 and 765.54

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Solution

The fourth proportional to 880.28, 1,313.96 and 765.54 is: 1,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.28 : 1,313.96 = 765.54 : x
  2. Step 2: Convert to fraction form
    880.28/1,313.96 = 765.54/x
  3. Step 3: Cross multiply
    880.28x = 1,313.96 × 765.54
  4. Step 4: Simplify right side
    880.28x = 1,005,888.94
  5. Step 5: Solve for x
    x = 1,005,888.94/880.28
  6. Step 6: Final answer
    x = 1,142.69

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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.