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Finding the Fourth Proportional to 1,255.23, 1,882.25 and 377.40

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Solution

The fourth proportional to 1,255.23, 1,882.25 and 377.40 is: 565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.23 : 1,882.25 = 377.40 : x
  2. Step 2: Convert to fraction form
    1,255.23/1,882.25 = 377.40/x
  3. Step 3: Cross multiply
    1,255.23x = 1,882.25 × 377.40
  4. Step 4: Simplify right side
    1,255.23x = 710,361.15
  5. Step 5: Solve for x
    x = 710,361.15/1,255.23
  6. Step 6: Final answer
    x = 565.92

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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.