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Finding the Fourth Proportional to 1,310.91, 1,966.33 and 323.74

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Solution

The fourth proportional to 1,310.91, 1,966.33 and 323.74 is: 485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.91 : 1,966.33 = 323.74 : x
  2. Step 2: Convert to fraction form
    1,310.91/1,966.33 = 323.74/x
  3. Step 3: Cross multiply
    1,310.91x = 1,966.33 × 323.74
  4. Step 4: Simplify right side
    1,310.91x = 636,579.67
  5. Step 5: Solve for x
    x = 636,579.67/1,310.91
  6. Step 6: Final answer
    x = 485.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.