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Finding the Fourth Proportional to 867.30, 1,197.01 and 552.70

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Solution

The fourth proportional to 867.30, 1,197.01 and 552.70 is: 762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.30 : 1,197.01 = 552.70 : x
  2. Step 2: Convert to fraction form
    867.30/1,197.01 = 552.70/x
  3. Step 3: Cross multiply
    867.30x = 1,197.01 × 552.70
  4. Step 4: Simplify right side
    867.30x = 661,587.43
  5. Step 5: Solve for x
    x = 661,587.43/867.30
  6. Step 6: Final answer
    x = 762.81

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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.