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Finding the Fourth Proportional to 567.02, 786.11 and 546.97

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Solution

The fourth proportional to 567.02, 786.11 and 546.97 is: 758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.02 : 786.11 = 546.97 : x
  2. Step 2: Convert to fraction form
    567.02/786.11 = 546.97/x
  3. Step 3: Cross multiply
    567.02x = 786.11 × 546.97
  4. Step 4: Simplify right side
    567.02x = 429,978.59
  5. Step 5: Solve for x
    x = 429,978.59/567.02
  6. Step 6: Final answer
    x = 758.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.