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Finding the Fourth Proportional to 873.90, 1,310.31 and 871.74

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Solution

The fourth proportional to 873.90, 1,310.31 and 871.74 is: 1,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.90 : 1,310.31 = 871.74 : x
  2. Step 2: Convert to fraction form
    873.90/1,310.31 = 871.74/x
  3. Step 3: Cross multiply
    873.90x = 1,310.31 × 871.74
  4. Step 4: Simplify right side
    873.90x = 1,142,249.64
  5. Step 5: Solve for x
    x = 1,142,249.64/873.90
  6. Step 6: Final answer
    x = 1,307.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.