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Finding the Fourth Proportional to 877.61, 1,316.86 and 329.92

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Solution

The fourth proportional to 877.61, 1,316.86 and 329.92 is: 495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.61 : 1,316.86 = 329.92 : x
  2. Step 2: Convert to fraction form
    877.61/1,316.86 = 329.92/x
  3. Step 3: Cross multiply
    877.61x = 1,316.86 × 329.92
  4. Step 4: Simplify right side
    877.61x = 434,454.33
  5. Step 5: Solve for x
    x = 434,454.33/877.61
  6. Step 6: Final answer
    x = 495.04

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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.