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Finding the Fourth Proportional to 1,201.35, 1,657.67 and 953.22

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Solution

The fourth proportional to 1,201.35, 1,657.67 and 953.22 is: 1,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.35 : 1,657.67 = 953.22 : x
  2. Step 2: Convert to fraction form
    1,201.35/1,657.67 = 953.22/x
  3. Step 3: Cross multiply
    1,201.35x = 1,657.67 × 953.22
  4. Step 4: Simplify right side
    1,201.35x = 1,580,119.43
  5. Step 5: Solve for x
    x = 1,580,119.43/1,201.35
  6. Step 6: Final answer
    x = 1,315.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.