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Finding the Fourth Proportional to 1,255.19, 1,882.73 and 597.53

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Solution

The fourth proportional to 1,255.19, 1,882.73 and 597.53 is: 896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.19 : 1,882.73 = 597.53 : x
  2. Step 2: Convert to fraction form
    1,255.19/1,882.73 = 597.53/x
  3. Step 3: Cross multiply
    1,255.19x = 1,882.73 × 597.53
  4. Step 4: Simplify right side
    1,255.19x = 1,124,993.86
  5. Step 5: Solve for x
    x = 1,124,993.86/1,255.19
  6. Step 6: Final answer
    x = 896.28

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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.