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Finding the Fourth Proportional to 1,558.13, 2,337.32 and 403.88

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Solution

The fourth proportional to 1,558.13, 2,337.32 and 403.88 is: 605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.13 : 2,337.32 = 403.88 : x
  2. Step 2: Convert to fraction form
    1,558.13/2,337.32 = 403.88/x
  3. Step 3: Cross multiply
    1,558.13x = 2,337.32 × 403.88
  4. Step 4: Simplify right side
    1,558.13x = 943,986.12
  5. Step 5: Solve for x
    x = 943,986.12/1,558.13
  6. Step 6: Final answer
    x = 605.85

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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.