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Finding the Fourth Proportional to 1,688.10, 2,532.07 and 533.85

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Solution

The fourth proportional to 1,688.10, 2,532.07 and 533.85 is: 800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.10 : 2,532.07 = 533.85 : x
  2. Step 2: Convert to fraction form
    1,688.10/2,532.07 = 533.85/x
  3. Step 3: Cross multiply
    1,688.10x = 2,532.07 × 533.85
  4. Step 4: Simplify right side
    1,688.10x = 1,351,745.57
  5. Step 5: Solve for x
    x = 1,351,745.57/1,688.10
  6. Step 6: Final answer
    x = 800.75

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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.