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Finding the Fourth Proportional to 873.80, 1,310.72 and 823.08

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Solution

The fourth proportional to 873.80, 1,310.72 and 823.08 is: 1,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.80 : 1,310.72 = 823.08 : x
  2. Step 2: Convert to fraction form
    873.80/1,310.72 = 823.08/x
  3. Step 3: Cross multiply
    873.80x = 1,310.72 × 823.08
  4. Step 4: Simplify right side
    873.80x = 1,078,827.42
  5. Step 5: Solve for x
    x = 1,078,827.42/873.80
  6. Step 6: Final answer
    x = 1,234.64

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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.