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Finding the Fourth Proportional to 1,567.57, 2,351.67 and 527.53

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Solution

The fourth proportional to 1,567.57, 2,351.67 and 527.53 is: 791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.57 : 2,351.67 = 527.53 : x
  2. Step 2: Convert to fraction form
    1,567.57/2,351.67 = 527.53/x
  3. Step 3: Cross multiply
    1,567.57x = 2,351.67 × 527.53
  4. Step 4: Simplify right side
    1,567.57x = 1,240,576.48
  5. Step 5: Solve for x
    x = 1,240,576.48/1,567.57
  6. Step 6: Final answer
    x = 791.40

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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.