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Finding the Fourth Proportional to 1,605.60, 2,408.41 and 823.38

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Solution

The fourth proportional to 1,605.60, 2,408.41 and 823.38 is: 1,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.60 : 2,408.41 = 823.38 : x
  2. Step 2: Convert to fraction form
    1,605.60/2,408.41 = 823.38/x
  3. Step 3: Cross multiply
    1,605.60x = 2,408.41 × 823.38
  4. Step 4: Simplify right side
    1,605.60x = 1,983,036.63
  5. Step 5: Solve for x
    x = 1,983,036.63/1,605.60
  6. Step 6: Final answer
    x = 1,235.08

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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.