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Finding the Fourth Proportional to 1,127.28, 1,688.68 and 896.56

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Solution

The fourth proportional to 1,127.28, 1,688.68 and 896.56 is: 1,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.28 : 1,688.68 = 896.56 : x
  2. Step 2: Convert to fraction form
    1,127.28/1,688.68 = 896.56/x
  3. Step 3: Cross multiply
    1,127.28x = 1,688.68 × 896.56
  4. Step 4: Simplify right side
    1,127.28x = 1,514,002.94
  5. Step 5: Solve for x
    x = 1,514,002.94/1,127.28
  6. Step 6: Final answer
    x = 1,343.06

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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.