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Finding the Fourth Proportional to 1,602.37, 2,403.33 and 629.15

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Solution

The fourth proportional to 1,602.37, 2,403.33 and 629.15 is: 943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.37 : 2,403.33 = 629.15 : x
  2. Step 2: Convert to fraction form
    1,602.37/2,403.33 = 629.15/x
  3. Step 3: Cross multiply
    1,602.37x = 2,403.33 × 629.15
  4. Step 4: Simplify right side
    1,602.37x = 1,512,055.07
  5. Step 5: Solve for x
    x = 1,512,055.07/1,602.37
  6. Step 6: Final answer
    x = 943.64

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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.