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Finding the Fourth Proportional to 896.01, 1,236.71 and 706.84

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Solution

The fourth proportional to 896.01, 1,236.71 and 706.84 is: 975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.01 : 1,236.71 = 706.84 : x
  2. Step 2: Convert to fraction form
    896.01/1,236.71 = 706.84/x
  3. Step 3: Cross multiply
    896.01x = 1,236.71 × 706.84
  4. Step 4: Simplify right side
    896.01x = 874,156.10
  5. Step 5: Solve for x
    x = 874,156.10/896.01
  6. Step 6: Final answer
    x = 975.61

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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.