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Finding the Fourth Proportional to 1,237.41, 1,856.25 and 543.78

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Solution

The fourth proportional to 1,237.41, 1,856.25 and 543.78 is: 815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.41 : 1,856.25 = 543.78 : x
  2. Step 2: Convert to fraction form
    1,237.41/1,856.25 = 543.78/x
  3. Step 3: Cross multiply
    1,237.41x = 1,856.25 × 543.78
  4. Step 4: Simplify right side
    1,237.41x = 1,009,391.63
  5. Step 5: Solve for x
    x = 1,009,391.63/1,237.41
  6. Step 6: Final answer
    x = 815.73

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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.