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Finding the Fourth Proportional to 873.66, 1,309.89 and 325.74

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Solution

The fourth proportional to 873.66, 1,309.89 and 325.74 is: 488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.66 : 1,309.89 = 325.74 : x
  2. Step 2: Convert to fraction form
    873.66/1,309.89 = 325.74/x
  3. Step 3: Cross multiply
    873.66x = 1,309.89 × 325.74
  4. Step 4: Simplify right side
    873.66x = 426,683.57
  5. Step 5: Solve for x
    x = 426,683.57/873.66
  6. Step 6: Final answer
    x = 488.39

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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.