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Finding the Fourth Proportional to 1,106.42, 1,659.29 and 448.07

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Solution

The fourth proportional to 1,106.42, 1,659.29 and 448.07 is: 671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.42 : 1,659.29 = 448.07 : x
  2. Step 2: Convert to fraction form
    1,106.42/1,659.29 = 448.07/x
  3. Step 3: Cross multiply
    1,106.42x = 1,659.29 × 448.07
  4. Step 4: Simplify right side
    1,106.42x = 743,467.53
  5. Step 5: Solve for x
    x = 743,467.53/1,106.42
  6. Step 6: Final answer
    x = 671.96

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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.