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Finding the Fourth Proportional to 1,406.42, 2,109.98 and 482.03

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Solution

The fourth proportional to 1,406.42, 2,109.98 and 482.03 is: 723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.42 : 2,109.98 = 482.03 : x
  2. Step 2: Convert to fraction form
    1,406.42/2,109.98 = 482.03/x
  3. Step 3: Cross multiply
    1,406.42x = 2,109.98 × 482.03
  4. Step 4: Simplify right side
    1,406.42x = 1,017,063.11
  5. Step 5: Solve for x
    x = 1,017,063.11/1,406.42
  6. Step 6: Final answer
    x = 723.16

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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.