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Finding the Fourth Proportional to 1,602.37, 2,403.57 and 628.57

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Solution

The fourth proportional to 1,602.37, 2,403.57 and 628.57 is: 942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.37 : 2,403.57 = 628.57 : x
  2. Step 2: Convert to fraction form
    1,602.37/2,403.57 = 628.57/x
  3. Step 3: Cross multiply
    1,602.37x = 2,403.57 × 628.57
  4. Step 4: Simplify right side
    1,602.37x = 1,510,799.98
  5. Step 5: Solve for x
    x = 1,510,799.98/1,602.37
  6. Step 6: Final answer
    x = 942.86

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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.