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Finding the Fourth Proportional to 1,385.03, 1,911.33 and 825.53

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Solution

The fourth proportional to 1,385.03, 1,911.33 and 825.53 is: 1,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.03 : 1,911.33 = 825.53 : x
  2. Step 2: Convert to fraction form
    1,385.03/1,911.33 = 825.53/x
  3. Step 3: Cross multiply
    1,385.03x = 1,911.33 × 825.53
  4. Step 4: Simplify right side
    1,385.03x = 1,577,850.70
  5. Step 5: Solve for x
    x = 1,577,850.70/1,385.03
  6. Step 6: Final answer
    x = 1,139.22

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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.