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Finding the Fourth Proportional to 1,082.75, 1,625.74 and 621.05

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Solution

The fourth proportional to 1,082.75, 1,625.74 and 621.05 is: 932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.75 : 1,625.74 = 621.05 : x
  2. Step 2: Convert to fraction form
    1,082.75/1,625.74 = 621.05/x
  3. Step 3: Cross multiply
    1,082.75x = 1,625.74 × 621.05
  4. Step 4: Simplify right side
    1,082.75x = 1,009,656.15
  5. Step 5: Solve for x
    x = 1,009,656.15/1,082.75
  6. Step 6: Final answer
    x = 932.50

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Why These Related Problems?

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