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Finding the Fourth Proportional to 883.71, 1,324.49 and 785.97

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Solution

The fourth proportional to 883.71, 1,324.49 and 785.97 is: 1,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.71 : 1,324.49 = 785.97 : x
  2. Step 2: Convert to fraction form
    883.71/1,324.49 = 785.97/x
  3. Step 3: Cross multiply
    883.71x = 1,324.49 × 785.97
  4. Step 4: Simplify right side
    883.71x = 1,041,005.48
  5. Step 5: Solve for x
    x = 1,041,005.48/883.71
  6. Step 6: Final answer
    x = 1,177.99

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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.