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Finding the Fourth Proportional to 1,607, 2,408.68 and 739.52

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Solution

The fourth proportional to 1,607, 2,408.68 and 739.52 is: 1,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607 : 2,408.68 = 739.52 : x
  2. Step 2: Convert to fraction form
    1,607/2,408.68 = 739.52/x
  3. Step 3: Cross multiply
    1,607x = 2,408.68 × 739.52
  4. Step 4: Simplify right side
    1,607x = 1,781,267.03
  5. Step 5: Solve for x
    x = 1,781,267.03/1,607
  6. Step 6: Final answer
    x = 1,108.44

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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.