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Finding the Fourth Proportional to 1,103.99, 1,656.09 and 446.09

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Solution

The fourth proportional to 1,103.99, 1,656.09 and 446.09 is: 669.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.99 : 1,656.09 = 446.09 : x
  2. Step 2: Convert to fraction form
    1,103.99/1,656.09 = 446.09/x
  3. Step 3: Cross multiply
    1,103.99x = 1,656.09 × 446.09
  4. Step 4: Simplify right side
    1,103.99x = 738,756.91
  5. Step 5: Solve for x
    x = 738,756.91/1,103.99
  6. Step 6: Final answer
    x = 669.17

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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.