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Finding the Fourth Proportional to 1,311.80, 1,810.36 and 722.35

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Solution

The fourth proportional to 1,311.80, 1,810.36 and 722.35 is: 996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.80 : 1,810.36 = 722.35 : x
  2. Step 2: Convert to fraction form
    1,311.80/1,810.36 = 722.35/x
  3. Step 3: Cross multiply
    1,311.80x = 1,810.36 × 722.35
  4. Step 4: Simplify right side
    1,311.80x = 1,307,713.55
  5. Step 5: Solve for x
    x = 1,307,713.55/1,311.80
  6. Step 6: Final answer
    x = 996.88

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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.