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Finding the Fourth Proportional to 862.98, 1,191.61 and 703.49

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Solution

The fourth proportional to 862.98, 1,191.61 and 703.49 is: 971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.98 : 1,191.61 = 703.49 : x
  2. Step 2: Convert to fraction form
    862.98/1,191.61 = 703.49/x
  3. Step 3: Cross multiply
    862.98x = 1,191.61 × 703.49
  4. Step 4: Simplify right side
    862.98x = 838,279.03
  5. Step 5: Solve for x
    x = 838,279.03/862.98
  6. Step 6: Final answer
    x = 971.38

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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.