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Finding the Fourth Proportional to 1,098.54, 1,647.97 and 406.18

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Solution

The fourth proportional to 1,098.54, 1,647.97 and 406.18 is: 609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.54 : 1,647.97 = 406.18 : x
  2. Step 2: Convert to fraction form
    1,098.54/1,647.97 = 406.18/x
  3. Step 3: Cross multiply
    1,098.54x = 1,647.97 × 406.18
  4. Step 4: Simplify right side
    1,098.54x = 669,373.50
  5. Step 5: Solve for x
    x = 669,373.50/1,098.54
  6. Step 6: Final answer
    x = 609.33

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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.