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Finding the Fourth Proportional to 1,293.04, 1,938.21 and 562.42

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Solution

The fourth proportional to 1,293.04, 1,938.21 and 562.42 is: 843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.04 : 1,938.21 = 562.42 : x
  2. Step 2: Convert to fraction form
    1,293.04/1,938.21 = 562.42/x
  3. Step 3: Cross multiply
    1,293.04x = 1,938.21 × 562.42
  4. Step 4: Simplify right side
    1,293.04x = 1,090,091.55
  5. Step 5: Solve for x
    x = 1,090,091.55/1,293.04
  6. Step 6: Final answer
    x = 843.04

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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.