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Finding the Fourth Proportional to 1,293.90, 1,941.14 and 472.20

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Solution

The fourth proportional to 1,293.90, 1,941.14 and 472.20 is: 708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.90 : 1,941.14 = 472.20 : x
  2. Step 2: Convert to fraction form
    1,293.90/1,941.14 = 472.20/x
  3. Step 3: Cross multiply
    1,293.90x = 1,941.14 × 472.20
  4. Step 4: Simplify right side
    1,293.90x = 916,606.31
  5. Step 5: Solve for x
    x = 916,606.31/1,293.90
  6. Step 6: Final answer
    x = 708.41

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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.