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Finding the Fourth Proportional to 1,602.14, 2,403.82 and 628.92

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Solution

The fourth proportional to 1,602.14, 2,403.82 and 628.92 is: 943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.14 : 2,403.82 = 628.92 : x
  2. Step 2: Convert to fraction form
    1,602.14/2,403.82 = 628.92/x
  3. Step 3: Cross multiply
    1,602.14x = 2,403.82 × 628.92
  4. Step 4: Simplify right side
    1,602.14x = 1,511,810.47
  5. Step 5: Solve for x
    x = 1,511,810.47/1,602.14
  6. Step 6: Final answer
    x = 943.62

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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.