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Finding the Fourth Proportional to 1,566.82, 2,350.35 and 412.57

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Solution

The fourth proportional to 1,566.82, 2,350.35 and 412.57 is: 618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.82 : 2,350.35 = 412.57 : x
  2. Step 2: Convert to fraction form
    1,566.82/2,350.35 = 412.57/x
  3. Step 3: Cross multiply
    1,566.82x = 2,350.35 × 412.57
  4. Step 4: Simplify right side
    1,566.82x = 969,683.90
  5. Step 5: Solve for x
    x = 969,683.90/1,566.82
  6. Step 6: Final answer
    x = 618.89

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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.