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Finding the Fourth Proportional to 983.26, 1,471.56 and 896.74

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Solution

The fourth proportional to 983.26, 1,471.56 and 896.74 is: 1,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.26 : 1,471.56 = 896.74 : x
  2. Step 2: Convert to fraction form
    983.26/1,471.56 = 896.74/x
  3. Step 3: Cross multiply
    983.26x = 1,471.56 × 896.74
  4. Step 4: Simplify right side
    983.26x = 1,319,606.71
  5. Step 5: Solve for x
    x = 1,319,606.71/983.26
  6. Step 6: Final answer
    x = 1,342.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.