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Finding the Fourth Proportional to 1,110.80, 1,664.97 and 525.17

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Solution

The fourth proportional to 1,110.80, 1,664.97 and 525.17 is: 787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.80 : 1,664.97 = 525.17 : x
  2. Step 2: Convert to fraction form
    1,110.80/1,664.97 = 525.17/x
  3. Step 3: Cross multiply
    1,110.80x = 1,664.97 × 525.17
  4. Step 4: Simplify right side
    1,110.80x = 874,383.97
  5. Step 5: Solve for x
    x = 874,383.97/1,110.80
  6. Step 6: Final answer
    x = 787.17

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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.