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Finding the Fourth Proportional to 1,406.52, 2,109.64 and 482.10

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Solution

The fourth proportional to 1,406.52, 2,109.64 and 482.10 is: 723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.52 : 2,109.64 = 482.10 : x
  2. Step 2: Convert to fraction form
    1,406.52/2,109.64 = 482.10/x
  3. Step 3: Cross multiply
    1,406.52x = 2,109.64 × 482.10
  4. Step 4: Simplify right side
    1,406.52x = 1,017,057.44
  5. Step 5: Solve for x
    x = 1,017,057.44/1,406.52
  6. Step 6: Final answer
    x = 723.10

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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.