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Finding the Fourth Proportional to 1,104.51, 1,525.58 and 825.98

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Solution

The fourth proportional to 1,104.51, 1,525.58 and 825.98 is: 1,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.51 : 1,525.58 = 825.98 : x
  2. Step 2: Convert to fraction form
    1,104.51/1,525.58 = 825.98/x
  3. Step 3: Cross multiply
    1,104.51x = 1,525.58 × 825.98
  4. Step 4: Simplify right side
    1,104.51x = 1,260,098.25
  5. Step 5: Solve for x
    x = 1,260,098.25/1,104.51
  6. Step 6: Final answer
    x = 1,140.87

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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.