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Finding the Fourth Proportional to 1,027.85, 1,543.14 and 567.26

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Solution

The fourth proportional to 1,027.85, 1,543.14 and 567.26 is: 851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.85 : 1,543.14 = 567.26 : x
  2. Step 2: Convert to fraction form
    1,027.85/1,543.14 = 567.26/x
  3. Step 3: Cross multiply
    1,027.85x = 1,543.14 × 567.26
  4. Step 4: Simplify right side
    1,027.85x = 875,361.60
  5. Step 5: Solve for x
    x = 875,361.60/1,027.85
  6. Step 6: Final answer
    x = 851.64

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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.