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Finding the Fourth Proportional to 1,602, 2,402.16 and 676.56

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Solution

The fourth proportional to 1,602, 2,402.16 and 676.56 is: 1,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602 : 2,402.16 = 676.56 : x
  2. Step 2: Convert to fraction form
    1,602/2,402.16 = 676.56/x
  3. Step 3: Cross multiply
    1,602x = 2,402.16 × 676.56
  4. Step 4: Simplify right side
    1,602x = 1,625,205.37
  5. Step 5: Solve for x
    x = 1,625,205.37/1,602
  6. Step 6: Final answer
    x = 1,014.49

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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.