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Finding the Fourth Proportional to 1,356.07, 2,032.87 and 490.18

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Solution

The fourth proportional to 1,356.07, 2,032.87 and 490.18 is: 734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.07 : 2,032.87 = 490.18 : x
  2. Step 2: Convert to fraction form
    1,356.07/2,032.87 = 490.18/x
  3. Step 3: Cross multiply
    1,356.07x = 2,032.87 × 490.18
  4. Step 4: Simplify right side
    1,356.07x = 996,472.22
  5. Step 5: Solve for x
    x = 996,472.22/1,356.07
  6. Step 6: Final answer
    x = 734.82

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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.