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Finding the Fourth Proportional to 1,165.56, 1,606.84 and 772.44

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Solution

The fourth proportional to 1,165.56, 1,606.84 and 772.44 is: 1,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.56 : 1,606.84 = 772.44 : x
  2. Step 2: Convert to fraction form
    1,165.56/1,606.84 = 772.44/x
  3. Step 3: Cross multiply
    1,165.56x = 1,606.84 × 772.44
  4. Step 4: Simplify right side
    1,165.56x = 1,241,187.49
  5. Step 5: Solve for x
    x = 1,241,187.49/1,165.56
  6. Step 6: Final answer
    x = 1,064.89

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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.