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Finding the Fourth Proportional to 1,773.68, 2,660.49 and 475.25

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Solution

The fourth proportional to 1,773.68, 2,660.49 and 475.25 is: 712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.68 : 2,660.49 = 475.25 : x
  2. Step 2: Convert to fraction form
    1,773.68/2,660.49 = 475.25/x
  3. Step 3: Cross multiply
    1,773.68x = 2,660.49 × 475.25
  4. Step 4: Simplify right side
    1,773.68x = 1,264,384.57
  5. Step 5: Solve for x
    x = 1,264,384.57/1,773.68
  6. Step 6: Final answer
    x = 712.86

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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.