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Finding the Fourth Proportional to 877.75, 1,316.76 and 329.97

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Solution

The fourth proportional to 877.75, 1,316.76 and 329.97 is: 495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.75 : 1,316.76 = 329.97 : x
  2. Step 2: Convert to fraction form
    877.75/1,316.76 = 329.97/x
  3. Step 3: Cross multiply
    877.75x = 1,316.76 × 329.97
  4. Step 4: Simplify right side
    877.75x = 434,491.30
  5. Step 5: Solve for x
    x = 434,491.30/877.75
  6. Step 6: Final answer
    x = 495.01

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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.