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Finding the Fourth Proportional to 1,109.02, 1,663.76 and 415.73

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Solution

The fourth proportional to 1,109.02, 1,663.76 and 415.73 is: 623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.02 : 1,663.76 = 415.73 : x
  2. Step 2: Convert to fraction form
    1,109.02/1,663.76 = 415.73/x
  3. Step 3: Cross multiply
    1,109.02x = 1,663.76 × 415.73
  4. Step 4: Simplify right side
    1,109.02x = 691,674.94
  5. Step 5: Solve for x
    x = 691,674.94/1,109.02
  6. Step 6: Final answer
    x = 623.68

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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.