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Finding the Fourth Proportional to 1,109.67, 1,663.51 and 415.80

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Solution

The fourth proportional to 1,109.67, 1,663.51 and 415.80 is: 623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.67 : 1,663.51 = 415.80 : x
  2. Step 2: Convert to fraction form
    1,109.67/1,663.51 = 415.80/x
  3. Step 3: Cross multiply
    1,109.67x = 1,663.51 × 415.80
  4. Step 4: Simplify right side
    1,109.67x = 691,687.46
  5. Step 5: Solve for x
    x = 691,687.46/1,109.67
  6. Step 6: Final answer
    x = 623.33

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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.