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Finding the Fourth Proportional to 1,164.97, 1,748.06 and 548.36

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Solution

The fourth proportional to 1,164.97, 1,748.06 and 548.36 is: 822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.97 : 1,748.06 = 548.36 : x
  2. Step 2: Convert to fraction form
    1,164.97/1,748.06 = 548.36/x
  3. Step 3: Cross multiply
    1,164.97x = 1,748.06 × 548.36
  4. Step 4: Simplify right side
    1,164.97x = 958,566.18
  5. Step 5: Solve for x
    x = 958,566.18/1,164.97
  6. Step 6: Final answer
    x = 822.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.