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Finding the Fourth Proportional to 1,197, 1,651.95 and 731.34

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Solution

The fourth proportional to 1,197, 1,651.95 and 731.34 is: 1,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197 : 1,651.95 = 731.34 : x
  2. Step 2: Convert to fraction form
    1,197/1,651.95 = 731.34/x
  3. Step 3: Cross multiply
    1,197x = 1,651.95 × 731.34
  4. Step 4: Simplify right side
    1,197x = 1,208,137.11
  5. Step 5: Solve for x
    x = 1,208,137.11/1,197
  6. Step 6: Final answer
    x = 1,009.30

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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.