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Finding the Fourth Proportional to 1,277.37, 1,916.06 and 546.89

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Solution

The fourth proportional to 1,277.37, 1,916.06 and 546.89 is: 820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.37 : 1,916.06 = 546.89 : x
  2. Step 2: Convert to fraction form
    1,277.37/1,916.06 = 546.89/x
  3. Step 3: Cross multiply
    1,277.37x = 1,916.06 × 546.89
  4. Step 4: Simplify right side
    1,277.37x = 1,047,861.74
  5. Step 5: Solve for x
    x = 1,047,861.74/1,277.37
  6. Step 6: Final answer
    x = 820.33

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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.