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Finding the Fourth Proportional to 1,409.29, 2,114.25 and 484.83

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Solution

The fourth proportional to 1,409.29, 2,114.25 and 484.83 is: 727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.29 : 2,114.25 = 484.83 : x
  2. Step 2: Convert to fraction form
    1,409.29/2,114.25 = 484.83/x
  3. Step 3: Cross multiply
    1,409.29x = 2,114.25 × 484.83
  4. Step 4: Simplify right side
    1,409.29x = 1,025,051.83
  5. Step 5: Solve for x
    x = 1,025,051.83/1,409.29
  6. Step 6: Final answer
    x = 727.35

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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.