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Finding the Fourth Proportional to 1,225.94, 1,691.96 and 1,109.03

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Solution

The fourth proportional to 1,225.94, 1,691.96 and 1,109.03 is: 1,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.94 : 1,691.96 = 1,109.03 : x
  2. Step 2: Convert to fraction form
    1,225.94/1,691.96 = 1,109.03/x
  3. Step 3: Cross multiply
    1,225.94x = 1,691.96 × 1,109.03
  4. Step 4: Simplify right side
    1,225.94x = 1,876,420.39
  5. Step 5: Solve for x
    x = 1,876,420.39/1,225.94
  6. Step 6: Final answer
    x = 1,530.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.