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Finding the Fourth Proportional to 836.10, 1,153.94 and 696.02

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Solution

The fourth proportional to 836.10, 1,153.94 and 696.02 is: 960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.10 : 1,153.94 = 696.02 : x
  2. Step 2: Convert to fraction form
    836.10/1,153.94 = 696.02/x
  3. Step 3: Cross multiply
    836.10x = 1,153.94 × 696.02
  4. Step 4: Simplify right side
    836.10x = 803,156.07
  5. Step 5: Solve for x
    x = 803,156.07/836.10
  6. Step 6: Final answer
    x = 960.60

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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.