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Finding the Fourth Proportional to 867.86, 1,196.42 and 536.07

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Solution

The fourth proportional to 867.86, 1,196.42 and 536.07 is: 739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.86 : 1,196.42 = 536.07 : x
  2. Step 2: Convert to fraction form
    867.86/1,196.42 = 536.07/x
  3. Step 3: Cross multiply
    867.86x = 1,196.42 × 536.07
  4. Step 4: Simplify right side
    867.86x = 641,357.70
  5. Step 5: Solve for x
    x = 641,357.70/867.86
  6. Step 6: Final answer
    x = 739.01

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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.