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Finding the Fourth Proportional to 1,373.84, 1,894.02 and 869.44

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Solution

The fourth proportional to 1,373.84, 1,894.02 and 869.44 is: 1,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.84 : 1,894.02 = 869.44 : x
  2. Step 2: Convert to fraction form
    1,373.84/1,894.02 = 869.44/x
  3. Step 3: Cross multiply
    1,373.84x = 1,894.02 × 869.44
  4. Step 4: Simplify right side
    1,373.84x = 1,646,739.41
  5. Step 5: Solve for x
    x = 1,646,739.41/1,373.84
  6. Step 6: Final answer
    x = 1,198.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.