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Finding the Fourth Proportional to 1,409.48, 2,111.90 and 484.54

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Solution

The fourth proportional to 1,409.48, 2,111.90 and 484.54 is: 726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.48 : 2,111.90 = 484.54 : x
  2. Step 2: Convert to fraction form
    1,409.48/2,111.90 = 484.54/x
  3. Step 3: Cross multiply
    1,409.48x = 2,111.90 × 484.54
  4. Step 4: Simplify right side
    1,409.48x = 1,023,300.03
  5. Step 5: Solve for x
    x = 1,023,300.03/1,409.48
  6. Step 6: Final answer
    x = 726.01

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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.