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Finding the Fourth Proportional to 1,293.30, 1,939.34 and 471.35

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Solution

The fourth proportional to 1,293.30, 1,939.34 and 471.35 is: 706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.30 : 1,939.34 = 471.35 : x
  2. Step 2: Convert to fraction form
    1,293.30/1,939.34 = 471.35/x
  3. Step 3: Cross multiply
    1,293.30x = 1,939.34 × 471.35
  4. Step 4: Simplify right side
    1,293.30x = 914,113.94
  5. Step 5: Solve for x
    x = 914,113.94/1,293.30
  6. Step 6: Final answer
    x = 706.81

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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.