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Finding the Fourth Proportional to 883.69, 1,323.43 and 700.49

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Solution

The fourth proportional to 883.69, 1,323.43 and 700.49 is: 1,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.69 : 1,323.43 = 700.49 : x
  2. Step 2: Convert to fraction form
    883.69/1,323.43 = 700.49/x
  3. Step 3: Cross multiply
    883.69x = 1,323.43 × 700.49
  4. Step 4: Simplify right side
    883.69x = 927,049.48
  5. Step 5: Solve for x
    x = 927,049.48/883.69
  6. Step 6: Final answer
    x = 1,049.07

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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.