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Finding the Fourth Proportional to 1,256.02, 1,745.29 and 1,242.52

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Solution

The fourth proportional to 1,256.02, 1,745.29 and 1,242.52 is: 1,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.02 : 1,745.29 = 1,242.52 : x
  2. Step 2: Convert to fraction form
    1,256.02/1,745.29 = 1,242.52/x
  3. Step 3: Cross multiply
    1,256.02x = 1,745.29 × 1,242.52
  4. Step 4: Simplify right side
    1,256.02x = 2,168,557.73
  5. Step 5: Solve for x
    x = 2,168,557.73/1,256.02
  6. Step 6: Final answer
    x = 1,726.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.