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Finding the Fourth Proportional to 1,114.99, 1,538.74 and 672.89

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Solution

The fourth proportional to 1,114.99, 1,538.74 and 672.89 is: 928.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.99 : 1,538.74 = 672.89 : x
  2. Step 2: Convert to fraction form
    1,114.99/1,538.74 = 672.89/x
  3. Step 3: Cross multiply
    1,114.99x = 1,538.74 × 672.89
  4. Step 4: Simplify right side
    1,114.99x = 1,035,396.75
  5. Step 5: Solve for x
    x = 1,035,396.75/1,114.99
  6. Step 6: Final answer
    x = 928.62

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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.