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Finding the Fourth Proportional to 1,039.90, 1,557.40 and 490.31

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Solution

The fourth proportional to 1,039.90, 1,557.40 and 490.31 is: 734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.90 : 1,557.40 = 490.31 : x
  2. Step 2: Convert to fraction form
    1,039.90/1,557.40 = 490.31/x
  3. Step 3: Cross multiply
    1,039.90x = 1,557.40 × 490.31
  4. Step 4: Simplify right side
    1,039.90x = 763,608.79
  5. Step 5: Solve for x
    x = 763,608.79/1,039.90
  6. Step 6: Final answer
    x = 734.31

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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.