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Finding the Fourth Proportional to 696.01, 1,043.40 and 262.86

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Solution

The fourth proportional to 696.01, 1,043.40 and 262.86 is: 394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.01 : 1,043.40 = 262.86 : x
  2. Step 2: Convert to fraction form
    696.01/1,043.40 = 262.86/x
  3. Step 3: Cross multiply
    696.01x = 1,043.40 × 262.86
  4. Step 4: Simplify right side
    696.01x = 274,268.12
  5. Step 5: Solve for x
    x = 274,268.12/696.01
  6. Step 6: Final answer
    x = 394.06

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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.