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Finding the Fourth Proportional to 1,311.82, 1,810.43 and 722.47

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Solution

The fourth proportional to 1,311.82, 1,810.43 and 722.47 is: 997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.82 : 1,810.43 = 722.47 : x
  2. Step 2: Convert to fraction form
    1,311.82/1,810.43 = 722.47/x
  3. Step 3: Cross multiply
    1,311.82x = 1,810.43 × 722.47
  4. Step 4: Simplify right side
    1,311.82x = 1,307,977.30
  5. Step 5: Solve for x
    x = 1,307,977.30/1,311.82
  6. Step 6: Final answer
    x = 997.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.