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Finding the Fourth Proportional to 1,567.31, 2,351.09 and 527.30

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Solution

The fourth proportional to 1,567.31, 2,351.09 and 527.30 is: 791.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.31 : 2,351.09 = 527.30 : x
  2. Step 2: Convert to fraction form
    1,567.31/2,351.09 = 527.30/x
  3. Step 3: Cross multiply
    1,567.31x = 2,351.09 × 527.30
  4. Step 4: Simplify right side
    1,567.31x = 1,239,739.88
  5. Step 5: Solve for x
    x = 1,239,739.88/1,567.31
  6. Step 6: Final answer
    x = 791.00

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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.