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Finding the Fourth Proportional to 896.81, 1,238.15 and 711.05

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Solution

The fourth proportional to 896.81, 1,238.15 and 711.05 is: 981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.81 : 1,238.15 = 711.05 : x
  2. Step 2: Convert to fraction form
    896.81/1,238.15 = 711.05/x
  3. Step 3: Cross multiply
    896.81x = 1,238.15 × 711.05
  4. Step 4: Simplify right side
    896.81x = 880,386.56
  5. Step 5: Solve for x
    x = 880,386.56/896.81
  6. Step 6: Final answer
    x = 981.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.