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Finding the Fourth Proportional to 1,039.37, 1,558.73 and 345.86

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Solution

The fourth proportional to 1,039.37, 1,558.73 and 345.86 is: 518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.37 : 1,558.73 = 345.86 : x
  2. Step 2: Convert to fraction form
    1,039.37/1,558.73 = 345.86/x
  3. Step 3: Cross multiply
    1,039.37x = 1,558.73 × 345.86
  4. Step 4: Simplify right side
    1,039.37x = 539,101.27
  5. Step 5: Solve for x
    x = 539,101.27/1,039.37
  6. Step 6: Final answer
    x = 518.68

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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.