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Finding the Fourth Proportional to 1,197.84, 1,652.57 and 743.39

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Solution

The fourth proportional to 1,197.84, 1,652.57 and 743.39 is: 1,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.84 : 1,652.57 = 743.39 : x
  2. Step 2: Convert to fraction form
    1,197.84/1,652.57 = 743.39/x
  3. Step 3: Cross multiply
    1,197.84x = 1,652.57 × 743.39
  4. Step 4: Simplify right side
    1,197.84x = 1,228,504.01
  5. Step 5: Solve for x
    x = 1,228,504.01/1,197.84
  6. Step 6: Final answer
    x = 1,025.60

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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.