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Finding the Fourth Proportional to 1,149.32, 1,723.80 and 564.20

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Solution

The fourth proportional to 1,149.32, 1,723.80 and 564.20 is: 846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.32 : 1,723.80 = 564.20 : x
  2. Step 2: Convert to fraction form
    1,149.32/1,723.80 = 564.20/x
  3. Step 3: Cross multiply
    1,149.32x = 1,723.80 × 564.20
  4. Step 4: Simplify right side
    1,149.32x = 972,567.96
  5. Step 5: Solve for x
    x = 972,567.96/1,149.32
  6. Step 6: Final answer
    x = 846.21

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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.