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Finding the Fourth Proportional to 1,098.67, 1,647.68 and 440.54

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Solution

The fourth proportional to 1,098.67, 1,647.68 and 440.54 is: 660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.67 : 1,647.68 = 440.54 : x
  2. Step 2: Convert to fraction form
    1,098.67/1,647.68 = 440.54/x
  3. Step 3: Cross multiply
    1,098.67x = 1,647.68 × 440.54
  4. Step 4: Simplify right side
    1,098.67x = 725,866.74
  5. Step 5: Solve for x
    x = 725,866.74/1,098.67
  6. Step 6: Final answer
    x = 660.68

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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.