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Finding the Fourth Proportional to 1,277.11, 1,916.35 and 729.68

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Solution

The fourth proportional to 1,277.11, 1,916.35 and 729.68 is: 1,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.11 : 1,916.35 = 729.68 : x
  2. Step 2: Convert to fraction form
    1,277.11/1,916.35 = 729.68/x
  3. Step 3: Cross multiply
    1,277.11x = 1,916.35 × 729.68
  4. Step 4: Simplify right side
    1,277.11x = 1,398,322.27
  5. Step 5: Solve for x
    x = 1,398,322.27/1,277.11
  6. Step 6: Final answer
    x = 1,094.91

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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.