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Finding the Fourth Proportional to 1,602.18, 2,403.54 and 628.29

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Solution

The fourth proportional to 1,602.18, 2,403.54 and 628.29 is: 942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.18 : 2,403.54 = 628.29 : x
  2. Step 2: Convert to fraction form
    1,602.18/2,403.54 = 628.29/x
  3. Step 3: Cross multiply
    1,602.18x = 2,403.54 × 628.29
  4. Step 4: Simplify right side
    1,602.18x = 1,510,120.15
  5. Step 5: Solve for x
    x = 1,510,120.15/1,602.18
  6. Step 6: Final answer
    x = 942.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.