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Finding the Fourth Proportional to 1,558.09, 2,337.14 and 403.75

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Solution

The fourth proportional to 1,558.09, 2,337.14 and 403.75 is: 605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.09 : 2,337.14 = 403.75 : x
  2. Step 2: Convert to fraction form
    1,558.09/2,337.14 = 403.75/x
  3. Step 3: Cross multiply
    1,558.09x = 2,337.14 × 403.75
  4. Step 4: Simplify right side
    1,558.09x = 943,620.28
  5. Step 5: Solve for x
    x = 943,620.28/1,558.09
  6. Step 6: Final answer
    x = 605.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.