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Finding the Fourth Proportional to 1,311.98, 1,968.41 and 532.16

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Solution

The fourth proportional to 1,311.98, 1,968.41 and 532.16 is: 798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.98 : 1,968.41 = 532.16 : x
  2. Step 2: Convert to fraction form
    1,311.98/1,968.41 = 532.16/x
  3. Step 3: Cross multiply
    1,311.98x = 1,968.41 × 532.16
  4. Step 4: Simplify right side
    1,311.98x = 1,047,500.55
  5. Step 5: Solve for x
    x = 1,047,500.55/1,311.98
  6. Step 6: Final answer
    x = 798.41

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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.