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Finding the Fourth Proportional to 867.82, 1,197.62 and 572.88

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Solution

The fourth proportional to 867.82, 1,197.62 and 572.88 is: 790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.82 : 1,197.62 = 572.88 : x
  2. Step 2: Convert to fraction form
    867.82/1,197.62 = 572.88/x
  3. Step 3: Cross multiply
    867.82x = 1,197.62 × 572.88
  4. Step 4: Simplify right side
    867.82x = 686,092.55
  5. Step 5: Solve for x
    x = 686,092.55/867.82
  6. Step 6: Final answer
    x = 790.59

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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.