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Finding the Fourth Proportional to 1,214.86, 1,822.38 and 731.02

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Solution

The fourth proportional to 1,214.86, 1,822.38 and 731.02 is: 1,096.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.86 : 1,822.38 = 731.02 : x
  2. Step 2: Convert to fraction form
    1,214.86/1,822.38 = 731.02/x
  3. Step 3: Cross multiply
    1,214.86x = 1,822.38 × 731.02
  4. Step 4: Simplify right side
    1,214.86x = 1,332,196.23
  5. Step 5: Solve for x
    x = 1,332,196.23/1,214.86
  6. Step 6: Final answer
    x = 1,096.58

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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.