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Finding the Fourth Proportional to 873.59, 1,310.62 and 325.78

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Solution

The fourth proportional to 873.59, 1,310.62 and 325.78 is: 488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.59 : 1,310.62 = 325.78 : x
  2. Step 2: Convert to fraction form
    873.59/1,310.62 = 325.78/x
  3. Step 3: Cross multiply
    873.59x = 1,310.62 × 325.78
  4. Step 4: Simplify right side
    873.59x = 426,975.22
  5. Step 5: Solve for x
    x = 426,975.22/873.59
  6. Step 6: Final answer
    x = 488.76

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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.