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Finding the Fourth Proportional to 867.60, 1,197.36 and 518.28

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Solution

The fourth proportional to 867.60, 1,197.36 and 518.28 is: 715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.60 : 1,197.36 = 518.28 : x
  2. Step 2: Convert to fraction form
    867.60/1,197.36 = 518.28/x
  3. Step 3: Cross multiply
    867.60x = 1,197.36 × 518.28
  4. Step 4: Simplify right side
    867.60x = 620,567.74
  5. Step 5: Solve for x
    x = 620,567.74/867.60
  6. Step 6: Final answer
    x = 715.27

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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.