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Finding the Fourth Proportional to 1,109.24, 1,662.76 and 493.08

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Solution

The fourth proportional to 1,109.24, 1,662.76 and 493.08 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.24 : 1,662.76 = 493.08 : x
  2. Step 2: Convert to fraction form
    1,109.24/1,662.76 = 493.08/x
  3. Step 3: Cross multiply
    1,109.24x = 1,662.76 × 493.08
  4. Step 4: Simplify right side
    1,109.24x = 819,873.70
  5. Step 5: Solve for x
    x = 819,873.70/1,109.24
  6. Step 6: Final answer
    x = 739.13

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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.