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Finding the Fourth Proportional to 1,602.44, 2,403.72 and 506.80

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Solution

The fourth proportional to 1,602.44, 2,403.72 and 506.80 is: 760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.44 : 2,403.72 = 506.80 : x
  2. Step 2: Convert to fraction form
    1,602.44/2,403.72 = 506.80/x
  3. Step 3: Cross multiply
    1,602.44x = 2,403.72 × 506.80
  4. Step 4: Simplify right side
    1,602.44x = 1,218,205.30
  5. Step 5: Solve for x
    x = 1,218,205.30/1,602.44
  6. Step 6: Final answer
    x = 760.22

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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.