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Finding the Fourth Proportional to 1,631.42, 2,446.85 and 535.79

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Solution

The fourth proportional to 1,631.42, 2,446.85 and 535.79 is: 803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.42 : 2,446.85 = 535.79 : x
  2. Step 2: Convert to fraction form
    1,631.42/2,446.85 = 535.79/x
  3. Step 3: Cross multiply
    1,631.42x = 2,446.85 × 535.79
  4. Step 4: Simplify right side
    1,631.42x = 1,311,005.22
  5. Step 5: Solve for x
    x = 1,311,005.22/1,631.42
  6. Step 6: Final answer
    x = 803.60

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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.