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Finding the Fourth Proportional to 1,567.23, 2,350.46 and 471.30

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Solution

The fourth proportional to 1,567.23, 2,350.46 and 471.30 is: 706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.23 : 2,350.46 = 471.30 : x
  2. Step 2: Convert to fraction form
    1,567.23/2,350.46 = 471.30/x
  3. Step 3: Cross multiply
    1,567.23x = 2,350.46 × 471.30
  4. Step 4: Simplify right side
    1,567.23x = 1,107,760.05
  5. Step 5: Solve for x
    x = 1,107,760.05/1,567.23
  6. Step 6: Final answer
    x = 706.83

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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.