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Finding the Fourth Proportional to 1,100.01, 1,648.98 and 406.29

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Solution

The fourth proportional to 1,100.01, 1,648.98 and 406.29 is: 609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.01 : 1,648.98 = 406.29 : x
  2. Step 2: Convert to fraction form
    1,100.01/1,648.98 = 406.29/x
  3. Step 3: Cross multiply
    1,100.01x = 1,648.98 × 406.29
  4. Step 4: Simplify right side
    1,100.01x = 669,964.08
  5. Step 5: Solve for x
    x = 669,964.08/1,100.01
  6. Step 6: Final answer
    x = 609.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.