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Finding the Fourth Proportional to 883.95, 1,325.93 and 225.83

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Solution

The fourth proportional to 883.95, 1,325.93 and 225.83 is: 338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.95 : 1,325.93 = 225.83 : x
  2. Step 2: Convert to fraction form
    883.95/1,325.93 = 225.83/x
  3. Step 3: Cross multiply
    883.95x = 1,325.93 × 225.83
  4. Step 4: Simplify right side
    883.95x = 299,428.14
  5. Step 5: Solve for x
    x = 299,428.14/883.95
  6. Step 6: Final answer
    x = 338.74

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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.