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Finding the Fourth Proportional to 1,101.34, 1,652.01 and 451.96

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Solution

The fourth proportional to 1,101.34, 1,652.01 and 451.96 is: 677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.34 : 1,652.01 = 451.96 : x
  2. Step 2: Convert to fraction form
    1,101.34/1,652.01 = 451.96/x
  3. Step 3: Cross multiply
    1,101.34x = 1,652.01 × 451.96
  4. Step 4: Simplify right side
    1,101.34x = 746,642.44
  5. Step 5: Solve for x
    x = 746,642.44/1,101.34
  6. Step 6: Final answer
    x = 677.94

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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.