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Finding the Fourth Proportional to 567.54, 851.99 and 546.89

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Solution

The fourth proportional to 567.54, 851.99 and 546.89 is: 820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.54 : 851.99 = 546.89 : x
  2. Step 2: Convert to fraction form
    567.54/851.99 = 546.89/x
  3. Step 3: Cross multiply
    567.54x = 851.99 × 546.89
  4. Step 4: Simplify right side
    567.54x = 465,937.82
  5. Step 5: Solve for x
    x = 465,937.82/567.54
  6. Step 6: Final answer
    x = 820.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.