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Finding the Fourth Proportional to 1,201.55, 1,799.92 and 955.16

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Solution

The fourth proportional to 1,201.55, 1,799.92 and 955.16 is: 1,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.55 : 1,799.92 = 955.16 : x
  2. Step 2: Convert to fraction form
    1,201.55/1,799.92 = 955.16/x
  3. Step 3: Cross multiply
    1,201.55x = 1,799.92 × 955.16
  4. Step 4: Simplify right side
    1,201.55x = 1,719,197.81
  5. Step 5: Solve for x
    x = 1,719,197.81/1,201.55
  6. Step 6: Final answer
    x = 1,430.82

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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.