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Finding the Fourth Proportional to 867.53, 1,197.14 and 484.19

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Solution

The fourth proportional to 867.53, 1,197.14 and 484.19 is: 668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.53 : 1,197.14 = 484.19 : x
  2. Step 2: Convert to fraction form
    867.53/1,197.14 = 484.19/x
  3. Step 3: Cross multiply
    867.53x = 1,197.14 × 484.19
  4. Step 4: Simplify right side
    867.53x = 579,634.81
  5. Step 5: Solve for x
    x = 579,634.81/867.53
  6. Step 6: Final answer
    x = 668.15

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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.