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Finding the Fourth Proportional to 1,145.28, 1,715.68 and 914.64

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Solution

The fourth proportional to 1,145.28, 1,715.68 and 914.64 is: 1,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.28 : 1,715.68 = 914.64 : x
  2. Step 2: Convert to fraction form
    1,145.28/1,715.68 = 914.64/x
  3. Step 3: Cross multiply
    1,145.28x = 1,715.68 × 914.64
  4. Step 4: Simplify right side
    1,145.28x = 1,569,229.56
  5. Step 5: Solve for x
    x = 1,569,229.56/1,145.28
  6. Step 6: Final answer
    x = 1,370.17

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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.