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Finding the Fourth Proportional to 837.30, 1,154.57 and 704.49

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Solution

The fourth proportional to 837.30, 1,154.57 and 704.49 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.30 : 1,154.57 = 704.49 : x
  2. Step 2: Convert to fraction form
    837.30/1,154.57 = 704.49/x
  3. Step 3: Cross multiply
    837.30x = 1,154.57 × 704.49
  4. Step 4: Simplify right side
    837.30x = 813,383.02
  5. Step 5: Solve for x
    x = 813,383.02/837.30
  6. Step 6: Final answer
    x = 971.44

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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.