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Finding the Fourth Proportional to 1,101.25, 1,652.28 and 581.23

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Solution

The fourth proportional to 1,101.25, 1,652.28 and 581.23 is: 872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.25 : 1,652.28 = 581.23 : x
  2. Step 2: Convert to fraction form
    1,101.25/1,652.28 = 581.23/x
  3. Step 3: Cross multiply
    1,101.25x = 1,652.28 × 581.23
  4. Step 4: Simplify right side
    1,101.25x = 960,354.70
  5. Step 5: Solve for x
    x = 960,354.70/1,101.25
  6. Step 6: Final answer
    x = 872.06

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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.