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Finding the Fourth Proportional to 1,039.91, 1,559.88 and 346.86

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Solution

The fourth proportional to 1,039.91, 1,559.88 and 346.86 is: 520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.91 : 1,559.88 = 346.86 : x
  2. Step 2: Convert to fraction form
    1,039.91/1,559.88 = 346.86/x
  3. Step 3: Cross multiply
    1,039.91x = 1,559.88 × 346.86
  4. Step 4: Simplify right side
    1,039.91x = 541,059.98
  5. Step 5: Solve for x
    x = 541,059.98/1,039.91
  6. Step 6: Final answer
    x = 520.30

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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.