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Finding the Fourth Proportional to 873.86, 1,310.70 and 411.50

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Solution

The fourth proportional to 873.86, 1,310.70 and 411.50 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.86 : 1,310.70 = 411.50 : x
  2. Step 2: Convert to fraction form
    873.86/1,310.70 = 411.50/x
  3. Step 3: Cross multiply
    873.86x = 1,310.70 × 411.50
  4. Step 4: Simplify right side
    873.86x = 539,353.05
  5. Step 5: Solve for x
    x = 539,353.05/873.86
  6. Step 6: Final answer
    x = 617.21

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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.