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Finding the Fourth Proportional to 1,165.49, 1,607.28 and 722.78

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Solution

The fourth proportional to 1,165.49, 1,607.28 and 722.78 is: 996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.49 : 1,607.28 = 722.78 : x
  2. Step 2: Convert to fraction form
    1,165.49/1,607.28 = 722.78/x
  3. Step 3: Cross multiply
    1,165.49x = 1,607.28 × 722.78
  4. Step 4: Simplify right side
    1,165.49x = 1,161,709.84
  5. Step 5: Solve for x
    x = 1,161,709.84/1,165.49
  6. Step 6: Final answer
    x = 996.76

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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.