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Finding the Fourth Proportional to 1,688.70, 2,533.05 and 518.88

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Solution

The fourth proportional to 1,688.70, 2,533.05 and 518.88 is: 778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.70 : 2,533.05 = 518.88 : x
  2. Step 2: Convert to fraction form
    1,688.70/2,533.05 = 518.88/x
  3. Step 3: Cross multiply
    1,688.70x = 2,533.05 × 518.88
  4. Step 4: Simplify right side
    1,688.70x = 1,314,348.98
  5. Step 5: Solve for x
    x = 1,314,348.98/1,688.70
  6. Step 6: Final answer
    x = 778.32

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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.