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Finding the Fourth Proportional to 1,602.72, 2,403.17 and 665.04

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Solution

The fourth proportional to 1,602.72, 2,403.17 and 665.04 is: 997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.72 : 2,403.17 = 665.04 : x
  2. Step 2: Convert to fraction form
    1,602.72/2,403.17 = 665.04/x
  3. Step 3: Cross multiply
    1,602.72x = 2,403.17 × 665.04
  4. Step 4: Simplify right side
    1,602.72x = 1,598,212.36
  5. Step 5: Solve for x
    x = 1,598,212.36/1,602.72
  6. Step 6: Final answer
    x = 997.19

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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.