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Finding the Fourth Proportional to 973.57, 1,340.11 and 849

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Solution

The fourth proportional to 973.57, 1,340.11 and 849 is: 1,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.57 : 1,340.11 = 849 : x
  2. Step 2: Convert to fraction form
    973.57/1,340.11 = 849/x
  3. Step 3: Cross multiply
    973.57x = 1,340.11 × 849
  4. Step 4: Simplify right side
    973.57x = 1,137,753.39
  5. Step 5: Solve for x
    x = 1,137,753.39/973.57
  6. Step 6: Final answer
    x = 1,168.65

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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.