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Finding the Fourth Proportional to 1,115.99, 1,538.64 and 916.09

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Solution

The fourth proportional to 1,115.99, 1,538.64 and 916.09 is: 1,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.99 : 1,538.64 = 916.09 : x
  2. Step 2: Convert to fraction form
    1,115.99/1,538.64 = 916.09/x
  3. Step 3: Cross multiply
    1,115.99x = 1,538.64 × 916.09
  4. Step 4: Simplify right side
    1,115.99x = 1,409,528.87
  5. Step 5: Solve for x
    x = 1,409,528.87/1,115.99
  6. Step 6: Final answer
    x = 1,263.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.