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Finding the Fourth Proportional to 671.00, 1,004.96 and 564.98

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Solution

The fourth proportional to 671.00, 1,004.96 and 564.98 is: 846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.00 : 1,004.96 = 564.98 : x
  2. Step 2: Convert to fraction form
    671.00/1,004.96 = 564.98/x
  3. Step 3: Cross multiply
    671.00x = 1,004.96 × 564.98
  4. Step 4: Simplify right side
    671.00x = 567,778.69
  5. Step 5: Solve for x
    x = 567,778.69/671.00
  6. Step 6: Final answer
    x = 846.17

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Why These Related Problems?

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