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Finding the Fourth Proportional to 867.27, 1,197.15 and 536.25

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Solution

The fourth proportional to 867.27, 1,197.15 and 536.25 is: 740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.27 : 1,197.15 = 536.25 : x
  2. Step 2: Convert to fraction form
    867.27/1,197.15 = 536.25/x
  3. Step 3: Cross multiply
    867.27x = 1,197.15 × 536.25
  4. Step 4: Simplify right side
    867.27x = 641,971.69
  5. Step 5: Solve for x
    x = 641,971.69/867.27
  6. Step 6: Final answer
    x = 740.22

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