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Finding the Fourth Proportional to 1,114.72, 1,538.35 and 741.05

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Solution

The fourth proportional to 1,114.72, 1,538.35 and 741.05 is: 1,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.72 : 1,538.35 = 741.05 : x
  2. Step 2: Convert to fraction form
    1,114.72/1,538.35 = 741.05/x
  3. Step 3: Cross multiply
    1,114.72x = 1,538.35 × 741.05
  4. Step 4: Simplify right side
    1,114.72x = 1,139,994.27
  5. Step 5: Solve for x
    x = 1,139,994.27/1,114.72
  6. Step 6: Final answer
    x = 1,022.67

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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.