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Finding the Fourth Proportional to 1,406.91, 2,109.72 and 482.23

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Solution

The fourth proportional to 1,406.91, 2,109.72 and 482.23 is: 723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.91 : 2,109.72 = 482.23 : x
  2. Step 2: Convert to fraction form
    1,406.91/2,109.72 = 482.23/x
  3. Step 3: Cross multiply
    1,406.91x = 2,109.72 × 482.23
  4. Step 4: Simplify right side
    1,406.91x = 1,017,365.00
  5. Step 5: Solve for x
    x = 1,017,365.00/1,406.91
  6. Step 6: Final answer
    x = 723.12

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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.