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Finding the Fourth Proportional to 1,109.14, 1,663.93 and 415.79

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Solution

The fourth proportional to 1,109.14, 1,663.93 and 415.79 is: 623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.14 : 1,663.93 = 415.79 : x
  2. Step 2: Convert to fraction form
    1,109.14/1,663.93 = 415.79/x
  3. Step 3: Cross multiply
    1,109.14x = 1,663.93 × 415.79
  4. Step 4: Simplify right side
    1,109.14x = 691,837.14
  5. Step 5: Solve for x
    x = 691,837.14/1,109.14
  6. Step 6: Final answer
    x = 623.76

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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.