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Finding the Fourth Proportional to 1,558.26, 2,337.66 and 518.40

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Solution

The fourth proportional to 1,558.26, 2,337.66 and 518.40 is: 777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.26 : 2,337.66 = 518.40 : x
  2. Step 2: Convert to fraction form
    1,558.26/2,337.66 = 518.40/x
  3. Step 3: Cross multiply
    1,558.26x = 2,337.66 × 518.40
  4. Step 4: Simplify right side
    1,558.26x = 1,211,842.94
  5. Step 5: Solve for x
    x = 1,211,842.94/1,558.26
  6. Step 6: Final answer
    x = 777.69

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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.