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Finding the Fourth Proportional to 1,406.39, 2,109.54 and 482.42

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Solution

The fourth proportional to 1,406.39, 2,109.54 and 482.42 is: 723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.39 : 2,109.54 = 482.42 : x
  2. Step 2: Convert to fraction form
    1,406.39/2,109.54 = 482.42/x
  3. Step 3: Cross multiply
    1,406.39x = 2,109.54 × 482.42
  4. Step 4: Simplify right side
    1,406.39x = 1,017,684.29
  5. Step 5: Solve for x
    x = 1,017,684.29/1,406.39
  6. Step 6: Final answer
    x = 723.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.